Pub Date : 2024-07-14DOI: 10.34198/ejms.14424.10911118
Iqbal Ali Hasoon, Najah Ali Jiben Al-Ziadi
Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $mathcal{F J}_{p, q}^m(alpha, delta, lambda, gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $mathcal{F} mathcal{J}_{p, q}^m(alpha, delta, lambda, gamma)$.
{"title":"New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator","authors":"Iqbal Ali Hasoon, Najah Ali Jiben Al-Ziadi","doi":"10.34198/ejms.14424.10911118","DOIUrl":"https://doi.org/10.34198/ejms.14424.10911118","url":null,"abstract":"Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $mathcal{F J}_{p, q}^m(alpha, delta, lambda, gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $mathcal{F} mathcal{J}_{p, q}^m(alpha, delta, lambda, gamma)$.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141649769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-04DOI: 10.34198/ejms.14524.10471065
A. Ji̇moh
A new zero-stable two-step hybrid block method for solving second order initial value problems of ordinary differential equations directly is derived and proposed. In the derivation of the method, the assumed power series solution is interpolated at the initial and the hybrid points while its second ordered derivative is collocated at all the nodal and selected off-step points in the interval of consideration. The relevant properties of the method were examined and the method was found to be zero-stable, consistent and convergent. A comparison of the results by the method with the exact solutions and other results in literature shows that the method is accurate, simple and effective in solving the class of problems considered.
{"title":"Two-Step Hybrid Block Method for Solving Second Order Initial Value Problem of Ordinary Differential Equations","authors":"A. Ji̇moh","doi":"10.34198/ejms.14524.10471065","DOIUrl":"https://doi.org/10.34198/ejms.14524.10471065","url":null,"abstract":"A new zero-stable two-step hybrid block method for solving second order initial value problems of ordinary differential equations directly is derived and proposed. In the derivation of the method, the assumed power series solution is interpolated at the initial and the hybrid points while its second ordered derivative is collocated at all the nodal and selected off-step points in the interval of consideration. The relevant properties of the method were examined and the method was found to be zero-stable, consistent and convergent. A comparison of the results by the method with the exact solutions and other results in literature shows that the method is accurate, simple and effective in solving the class of problems considered.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141679937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-04DOI: 10.34198/ejms.14524.10771090
A. Ji̇moh, M. H. Sulaiman, A. S. Mohammed
In this work, a Chebyshev polynomial spline function is derived and used to approximate the solution of the second order two-point boundary value problems of variable coefficients with the associated boundary conditions. In deriving the method, the cubic spline Chebyshev polynomial approximation, $S(x)$ is made to satisfy certain conditions for continuity and smoothness of functions. Numerical examples are presented to illustrate the applications of this method. The solution, $y(x)$ of these examples are obtained at some nodal points in the interval of consideration. The absolute errors in each example are estimated, and the comparison of exact values, and approximate values by the present method and other methods in literature at the nodal points are presented graphically. The comparison shows that the proposed method produces better results than Approaching Spline Techniques and collocation method.
{"title":"Cubic Spline Chebyshev Polynomial Approximation for Solving Boundary Value Problems","authors":"A. Ji̇moh, M. H. Sulaiman, A. S. Mohammed","doi":"10.34198/ejms.14524.10771090","DOIUrl":"https://doi.org/10.34198/ejms.14524.10771090","url":null,"abstract":"In this work, a Chebyshev polynomial spline function is derived and used to approximate the solution of the second order two-point boundary value problems of variable coefficients with the associated boundary conditions. In deriving the method, the cubic spline Chebyshev polynomial approximation, $S(x)$ is made to satisfy certain conditions for continuity and smoothness of functions. Numerical examples are presented to illustrate the applications of this method. The solution, $y(x)$ of these examples are obtained at some nodal points in the interval of consideration. The absolute errors in each example are estimated, and the comparison of exact values, and approximate values by the present method and other methods in literature at the nodal points are presented graphically. The comparison shows that the proposed method produces better results than Approaching Spline Techniques and collocation method.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141677712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-04DOI: 10.34198/ejms.14524.10671075
C. Ampadu
In this paper we introduce the notion of Reich type cyclic weakly contraction and prove a fixed point theorem. Some Corollaries are consequences of the main result.
在本文中，我们引入了赖希式循环弱收缩的概念，并证明了一个定点定理。一些推论是主要结果的后果。
{"title":"Weakly Reich Type Cyclic Contraction Mapping Principle","authors":"C. Ampadu","doi":"10.34198/ejms.14524.10671075","DOIUrl":"https://doi.org/10.34198/ejms.14524.10671075","url":null,"abstract":"In this paper we introduce the notion of Reich type cyclic weakly contraction and prove a fixed point theorem. Some Corollaries are consequences of the main result.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141677251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-10DOI: 10.34198/ejms.14424.773791
O. B. Onuoha, R. O. Ayinla, G. Egenti, O. E. Taiwo
Given that the conjugate gradient method (CGM) is computationally efficient and user-friendly, it is often used to address large-scale, unconstrained minimization issues. Numerous researchers have created new conjugate gradient (CG) update parameters by modifying the initial set, also referred to as classical CGMs. This has resulted in the development of several hybrid approaches. This work's major goal is to create a new family of techniques that can be used to create even more new methods. Consequently, Hestenes-Stiefel's update parameter and a new family involving Polak-Ribiere-Polyak and Liu-Storey CGMs are considered. By changing the parameters of this CGM family, a novel approach that possesses sufficient descent characteristics is obtained. A numerical experiment including many unconstrained minimization problems (UMP) is carried out to assess the novel method's efficacy compared to existing approaches. The result reveals that the new CG approach performs better than the current ones.
{"title":"Exploring Enhanced Conjugate Gradient Methods: A Novel Family of Techniques for Efficient Unconstrained Minimization","authors":"O. B. Onuoha, R. O. Ayinla, G. Egenti, O. E. Taiwo","doi":"10.34198/ejms.14424.773791","DOIUrl":"https://doi.org/10.34198/ejms.14424.773791","url":null,"abstract":"Given that the conjugate gradient method (CGM) is computationally efficient and user-friendly, it is often used to address large-scale, unconstrained minimization issues. Numerous researchers have created new conjugate gradient (CG) update parameters by modifying the initial set, also referred to as classical CGMs. This has resulted in the development of several hybrid approaches. This work's major goal is to create a new family of techniques that can be used to create even more new methods. Consequently, Hestenes-Stiefel's update parameter and a new family involving Polak-Ribiere-Polyak and Liu-Storey CGMs are considered. By changing the parameters of this CGM family, a novel approach that possesses sufficient descent characteristics is obtained. A numerical experiment including many unconstrained minimization problems (UMP) is carried out to assess the novel method's efficacy compared to existing approaches. The result reveals that the new CG approach performs better than the current ones.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141365379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-21DOI: 10.34198/ejms.14324.477500
David U. Gideon, Precious O. Ibeakuzie, Divine-Favour N. Ekemezie, M. P. Nwankwo, Dorathy O. Oramulu, Harrison O. Etaga
In this paper, a new distribution is proposed by a mixture of two distributions; Exponential and Exponential-Rama the proposed distribution is referred to as the Double XRama distribution. It is flexible in modeling lifetime data. The properties of the XRama distribution were derived and an analysis of the behaviour was conducted. The mathematical properties which include moments, the shape of the distribution, Quantile function, hazard function, survival function, stochastic ordering, mean deviation, Bonferroni and Lorenz curve, order statistic, and Renyi entropy have been studied. From the results, the proposed model competes favorably among the members of the XRama class of distributions.
{"title":"The Double XRAMA Distribution: Theory and Applications","authors":"David U. Gideon, Precious O. Ibeakuzie, Divine-Favour N. Ekemezie, M. P. Nwankwo, Dorathy O. Oramulu, Harrison O. Etaga","doi":"10.34198/ejms.14324.477500","DOIUrl":"https://doi.org/10.34198/ejms.14324.477500","url":null,"abstract":"In this paper, a new distribution is proposed by a mixture of two distributions; Exponential and Exponential-Rama the proposed distribution is referred to as the Double XRama distribution. It is flexible in modeling lifetime data. The properties of the XRama distribution were derived and an analysis of the behaviour was conducted. The mathematical properties which include moments, the shape of the distribution, Quantile function, hazard function, survival function, stochastic ordering, mean deviation, Bonferroni and Lorenz curve, order statistic, and Renyi entropy have been studied. From the results, the proposed model competes favorably among the members of the XRama class of distributions.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140223082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-15DOI: 10.34198/ejms.14224.443457
S. R. Swamy, Yogesh Nanjadeva, Pankaj Kumar, Tarikere Manjunath Sushma
In this work, we investigate some subclasses of bi-univalent and regular functions associated with Horadam polynomials in the open unit disk $mathfrak{U}={varsigmainmathbb{C}:|varsigma| <1}$. For functions that belong to these subclasses, we find bounds on their initial coefficients. The functional problem of Fekete-Szegö is also examined. Along with presenting some new results, we also talk about pertinent connections to earlier findings.
{"title":"Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions linked with Horadam Polynomials","authors":"S. R. Swamy, Yogesh Nanjadeva, Pankaj Kumar, Tarikere Manjunath Sushma","doi":"10.34198/ejms.14224.443457","DOIUrl":"https://doi.org/10.34198/ejms.14224.443457","url":null,"abstract":"In this work, we investigate some subclasses of bi-univalent and regular functions associated with Horadam polynomials in the open unit disk $mathfrak{U}={varsigmainmathbb{C}:|varsigma| <1}$. For functions that belong to these subclasses, we find bounds on their initial coefficients. The functional problem of Fekete-Szegö is also examined. Along with presenting some new results, we also talk about pertinent connections to earlier findings.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140238869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-15DOI: 10.34198/ejms.14324.459475
N. P. Akpan, E. R. Anyi-Akparanta
In this research, on medical equipment maintainability and reliability we conducted basic statistics analysis using University of Port Harcourt Teaching Hospital as the case study; the data collected covered 18 departments, namely; Anatomical Pathology, Micro Biology, Chemical Pathology Laboratory, Radiography Department, Pediatrics, Hemodialialysis, Hematology and Blood Transfusion, Physiotherapy, Dental Department, MDR-TB unit, Pharmacy, ICU, Assisted Conception Unit, Orthopedic Ward, Care for Elderly Laboratory, Family Planning Unit, Community Medicine and Labour Ward. The results of the parametric Weibull distribution percentile suggested that the reliability of the devices tends to fail every 21 days. The reliability plot of the model indicated that the devices tend to decrease its life span with age, the Weibull model was adequately fitted following the results of Anderson adjust test of goodness of fit and the probability plot. In comparison, the Probability value of goodness of fit P(0.0000) of Weibull distribution model was compared with that of exponential distribution model P(0.034), the outcome showed that Weibull distribution is better to model the data of medical equipment in University of Port Harcourt Teaching Hospital.
{"title":"Reliability Model of Medical Equipment in University of Port Teaching Hospital","authors":"N. P. Akpan, E. R. Anyi-Akparanta","doi":"10.34198/ejms.14324.459475","DOIUrl":"https://doi.org/10.34198/ejms.14324.459475","url":null,"abstract":"In this research, on medical equipment maintainability and reliability we conducted basic statistics analysis using University of Port Harcourt Teaching Hospital as the case study; the data collected covered 18 departments, namely; Anatomical Pathology, Micro Biology, Chemical Pathology Laboratory, Radiography Department, Pediatrics, Hemodialialysis, Hematology and Blood Transfusion, Physiotherapy, Dental Department, MDR-TB unit, Pharmacy, ICU, Assisted Conception Unit, Orthopedic Ward, Care for Elderly Laboratory, Family Planning Unit, Community Medicine and Labour Ward. The results of the parametric Weibull distribution percentile suggested that the reliability of the devices tends to fail every 21 days. The reliability plot of the model indicated that the devices tend to decrease its life span with age, the Weibull model was adequately fitted following the results of Anderson adjust test of goodness of fit and the probability plot. In comparison, the Probability value of goodness of fit P(0.0000) of Weibull distribution model was compared with that of exponential distribution model P(0.034), the outcome showed that Weibull distribution is better to model the data of medical equipment in University of Port Harcourt Teaching Hospital.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140240368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-16DOI: 10.34198/ejms.14324.391404
E. S. Udofia, Ubong D. Akpan, Joy Ijeoma Uwakwe, Henry Sylvester Thomas
Age-structured mathematical model of diphtheria infection has been formulated with specific epidemiological classes such as S1, susceptible infant at time t (0-1years), S2, susceptible school children population at time t, V, vaccination population at time t, E, exposed population at time t, I1, asymptomatic infection population at time t, I2, symptomatic infection population at time t, ID, detected infectious humans at time t (asymptomatic and symptomatic) population through testing, R, recovered population at time t. It was established through theorems and proofs that the model is epidemiologically meaningful, and that all its state variables are positive (non-negative) at time t>0 in the domain ℘, and that the domain ℘ is indeed bounded. Using the next generation matrix, the reproduction ratio Rb of the system was determined. Using dynamical system theory, it was established that the system is locally stable. A matrix-theoretic method was used in the construction of an appropriate Lyapunov function for the global stability analysis of the formulated model, and also established that the system is globally asymptotically stable if Rb≤1 and unstable otherwise.
{"title":"Age Structured Deterministic Model of Diphtheria Infection","authors":"E. S. Udofia, Ubong D. Akpan, Joy Ijeoma Uwakwe, Henry Sylvester Thomas","doi":"10.34198/ejms.14324.391404","DOIUrl":"https://doi.org/10.34198/ejms.14324.391404","url":null,"abstract":"Age-structured mathematical model of diphtheria infection has been formulated with specific epidemiological classes such as S1, susceptible infant at time t (0-1years), S2, susceptible school children population at time t, V, vaccination population at time t, E, exposed population at time t, I1, asymptomatic infection population at time t, I2, symptomatic infection population at time t, ID, detected infectious humans at time t (asymptomatic and symptomatic) population through testing, R, recovered population at time t. It was established through theorems and proofs that the model is epidemiologically meaningful, and that all its state variables are positive (non-negative) at time t>0 in the domain ℘, and that the domain ℘ is indeed bounded. Using the next generation matrix, the reproduction ratio Rb of the system was determined. Using dynamical system theory, it was established that the system is locally stable. A matrix-theoretic method was used in the construction of an appropriate Lyapunov function for the global stability analysis of the formulated model, and also established that the system is globally asymptotically stable if Rb≤1 and unstable otherwise.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139961136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.34198/ejms.14324.379389
Bedaa Alawi Abd, A. Wanas
In this work, we define and study some families of multivalent analytic functions defined by the fuzzy subordination and Borel distribution. We discuss some interesting inclusion results and various other useful properties involving integral of these families.
{"title":"Some Useful Results on Fuzzy Differential Subordination of Multivalent Functions Defined by Borel Distribution Series","authors":"Bedaa Alawi Abd, A. Wanas","doi":"10.34198/ejms.14324.379389","DOIUrl":"https://doi.org/10.34198/ejms.14324.379389","url":null,"abstract":"In this work, we define and study some families of multivalent analytic functions defined by the fuzzy subordination and Borel distribution. We discuss some interesting inclusion results and various other useful properties involving integral of these families.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139778409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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