In this paper, motivated by the works of Timnak et al. [Filomat 31(15) (2017), 4673–4693], Ogbuisi and Izuchukwu [Numer. Funct. Anal. 40(13) (2019)] and some other related results in literature, we introduce an iterative algorithm and employ a Bregman distance approach for approximating a zero of the sum of two monotone operators, which is also a common solution of equilibrium problem involving pseudomonotone bifunction and a fixed point problem for an infinite family of Bregman quasi-nonexpansive mappings in the framework of a reflexive Banach space. Using our iterative algorithm, we state and prove a strong convergence result for approximating a common solution of the aforementioned problems. Furthermore, we give some applications of the consequences of our main result to convex minimization problem and variational inequality problem. Lastly, we display a numerical example to show the applicability of our main result. The result presented in this paper extends and complements many related results in the literature.
{"title":"Approximating Solutions of Monotone Variational Inclusion, Equilibrium and Fixed Point Problems of Certain Nonlinear Mappings in Banach Spaces","authors":"HAMMED ANUOLUWAPO ABASS, CHINEDU IZUCHUKWU, OLUWATOSIN TEMITOPE MEWOMO","doi":"10.46793/kgjmat2305.777a","DOIUrl":"https://doi.org/10.46793/kgjmat2305.777a","url":null,"abstract":"In this paper, motivated by the works of Timnak et al. [Filomat 31(15) (2017), 4673–4693], Ogbuisi and Izuchukwu [Numer. Funct. Anal. 40(13) (2019)] and some other related results in literature, we introduce an iterative algorithm and employ a Bregman distance approach for approximating a zero of the sum of two monotone operators, which is also a common solution of equilibrium problem involving pseudomonotone bifunction and a fixed point problem for an infinite family of Bregman quasi-nonexpansive mappings in the framework of a reflexive Banach space. Using our iterative algorithm, we state and prove a strong convergence result for approximating a common solution of the aforementioned problems. Furthermore, we give some applications of the consequences of our main result to convex minimization problem and variational inequality problem. Lastly, we display a numerical example to show the applicability of our main result. The result presented in this paper extends and complements many related results in the literature.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135843448","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 : 2023-01-01DOI: 10.46793/kgjmat2303.387b
S. Barik, A. Mishra
In this paper we find bounds on the modulii of the second, third and fourth Taylor-Maclaurin’s coefficients for functions in a subclass of bi-close-to-convex analytic functions, which includes the class studied by Srivastava et al. as particular case. Our estimates on the second and third coefficients improve upon earlier bounds. The result on the fourth coefficient is new. Our bounds are obtained by refining well known estimates for the initial coefficients of the Carthéodory functions.
{"title":"Estimates for Initial Coefficients of Certain Subclasses of Bi-Close-to-Convex Analytic Functions","authors":"S. Barik, A. Mishra","doi":"10.46793/kgjmat2303.387b","DOIUrl":"https://doi.org/10.46793/kgjmat2303.387b","url":null,"abstract":"In this paper we find bounds on the modulii of the second, third and fourth Taylor-Maclaurin’s coefficients for functions in a subclass of bi-close-to-convex analytic functions, which includes the class studied by Srivastava et al. as particular case. Our estimates on the second and third coefficients improve upon earlier bounds. The result on the fourth coefficient is new. Our bounds are obtained by refining well known estimates for the initial coefficients of the Carthéodory functions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588607","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 : 2023-01-01DOI: 10.46793/kgjmat2305.801h
MUSTAPHA ESSEGHYR HRYROU, SAMIR KABBAJ
. In this paper, we introduce and solve the following generalized Drygas functional equation
{"title":"On a Generalized Drygas Functional Equation and its Approximate Solutions in 2-Banach Spaces","authors":"MUSTAPHA ESSEGHYR HRYROU, SAMIR KABBAJ","doi":"10.46793/kgjmat2305.801h","DOIUrl":"https://doi.org/10.46793/kgjmat2305.801h","url":null,"abstract":". In this paper, we introduce and solve the following generalized Drygas functional equation","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135844161","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 : 2023-01-01DOI: 10.46793/kgjmat2301.105b
M. Bin-Saad, J. A. Younis, And Anvar Hasanov
Recently, Casadei [4] provided an explicit formula for statistical marginal model in terms of Poisson-Gamma mixture. This model involving certain polynomials which play the key role in reference analysis of the signal and background model in counting experiments. The principal object of this paper is to present a natural further step toward the mathematical properties concerning this polynomials. We first obtain explicit representations for these polynomials in form of the Laguerre polynomials and the confluent hyper-geometric function and then based on these representations we derive a number of useful properties including generating functions, recurrence relations, differential equation, Rodrigueś formula, finite sums and integral transforms.
{"title":"Some Mathematical Properties for Marginal Model of Poisson-Gamma Distribution","authors":"M. Bin-Saad, J. A. Younis, And Anvar Hasanov","doi":"10.46793/kgjmat2301.105b","DOIUrl":"https://doi.org/10.46793/kgjmat2301.105b","url":null,"abstract":"Recently, Casadei [4] provided an explicit formula for statistical marginal model in terms of Poisson-Gamma mixture. This model involving certain polynomials which play the key role in reference analysis of the signal and background model in counting experiments. The principal object of this paper is to present a natural further step toward the mathematical properties concerning this polynomials. We first obtain explicit representations for these polynomials in form of the Laguerre polynomials and the confluent hyper-geometric function and then based on these representations we derive a number of useful properties including generating functions, recurrence relations, differential equation, Rodrigueś formula, finite sums and integral transforms.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48647785","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 : 2023-01-01DOI: 10.46793/kgjmat2303.347b
D. C. Benchettah
This paper is an extension and a generalization of the previous results, cf. [3, 6, 8, 11]. It is devoted to studying the finite element approximation of the non coercive system of parabolic quasi-variational inequalities related to the management of energy production problem. Specifically, we prove optimal L∞-asymptotic behavior of the system of evolutionary quasi-variational inequalities with nonlinear source terms using the finite element spatial approximation and the subsolutions method
{"title":"L ∞−ASYMPTOTIC BEHAVIOR OF A FINITE ELEMENT METHOD FOR A SYSTEM OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS","authors":"D. C. Benchettah","doi":"10.46793/kgjmat2303.347b","DOIUrl":"https://doi.org/10.46793/kgjmat2303.347b","url":null,"abstract":"This paper is an extension and a generalization of the previous results, cf. [3, 6, 8, 11]. It is devoted to studying the finite element approximation of the non coercive system of parabolic quasi-variational inequalities related to the management of energy production problem. Specifically, we prove optimal L∞-asymptotic behavior of the system of evolutionary quasi-variational inequalities with nonlinear source terms using the finite element spatial approximation and the subsolutions method","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588464","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 : 2023-01-01DOI: 10.46793/kgjmat2303.431d
N. Deo, Ram Pratap
In this paper, we consider Szász-Durrmeyer type operators based on Charlier polynomials associated with Srivastava-Gupta operators [17]. For the considered operators, we discuss error of estimation by using first and second order modulus of continuity, Lipchtiz-type space, Ditzian-Totik modulus of smoothness, Voronovskaya type asymptotic formula and weighted modulus of continuity
{"title":"The family of Szász-Durrmeyer Type Operators Involving Charlier Polynomials","authors":"N. Deo, Ram Pratap","doi":"10.46793/kgjmat2303.431d","DOIUrl":"https://doi.org/10.46793/kgjmat2303.431d","url":null,"abstract":"In this paper, we consider Szász-Durrmeyer type operators based on Charlier polynomials associated with Srivastava-Gupta operators [17]. For the considered operators, we discuss error of estimation by using first and second order modulus of continuity, Lipchtiz-type space, Ditzian-Totik modulus of smoothness, Voronovskaya type asymptotic formula and weighted modulus of continuity","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588494","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 : 2023-01-01DOI: 10.46793/kgjmat2303.417a
Md. Firoj Ali, N. M. Khan
After introducing the notions of the Green’s relation J, hyper J-class and covered hyperideal in an ordered semihypergroup, some important properties of the hyper J-class and covered hyperideals are studied. Then maximal and minimal hyperideals of an ordered semihypergroup are defined and some vital results have been proved. We also define a hyperbase of an ordered semihypergroup and prove the existence of a hyperbase under certain conditions in an ordered semihypergroup. In an ordered semihypergroup, after defining the greatest covered hyperideal and the greatest hyperideal, some results about these hyperideals are proved. Finally, in a regular ordered semihypergroup, we show that, under some conditions, each hyperideal is also a covered hyperideal.
{"title":"Characterization of Ordered Semihypergroups by Covered Hyperideals","authors":"Md. Firoj Ali, N. M. Khan","doi":"10.46793/kgjmat2303.417a","DOIUrl":"https://doi.org/10.46793/kgjmat2303.417a","url":null,"abstract":"After introducing the notions of the Green’s relation J, hyper J-class and covered hyperideal in an ordered semihypergroup, some important properties of the hyper J-class and covered hyperideals are studied. Then maximal and minimal hyperideals of an ordered semihypergroup are defined and some vital results have been proved. We also define a hyperbase of an ordered semihypergroup and prove the existence of a hyperbase under certain conditions in an ordered semihypergroup. In an ordered semihypergroup, after defining the greatest covered hyperideal and the greatest hyperideal, some results about these hyperideals are proved. Finally, in a regular ordered semihypergroup, we show that, under some conditions, each hyperideal is also a covered hyperideal.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588770","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 : 2023-01-01DOI: 10.46793/kgjmat2303.445k
S. Kermausuor
A new generalization of Ostrowski’s inequality for functions whose derivatives belong to Lp([a, b]) (1 ≤ p < ∞) for k points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.
{"title":"A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS","authors":"S. Kermausuor","doi":"10.46793/kgjmat2303.445k","DOIUrl":"https://doi.org/10.46793/kgjmat2303.445k","url":null,"abstract":"A new generalization of Ostrowski’s inequality for functions whose derivatives belong to Lp([a, b]) (1 ≤ p < ∞) for k points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70589018","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 : 2023-01-01DOI: 10.46793/kgjmat2305.727n
TABINDA NAHID, SHAHID AHMAD WANI
The present work deals with the mathematical investigation of the product formulas and several q-Laplace type integral transforms of certain q-Humbert functions. In our investigation, the qL2-transform and qℒ2-transform of certain q2-Humbert functions are considered. Several useful special cases have been deduced as applications of main results.
{"title":"A Product Formula and Certain q-Laplace Type Transforms for the q-Humbert Functions","authors":"TABINDA NAHID, SHAHID AHMAD WANI","doi":"10.46793/kgjmat2305.727n","DOIUrl":"https://doi.org/10.46793/kgjmat2305.727n","url":null,"abstract":"The present work deals with the mathematical investigation of the product formulas and several q-Laplace type integral transforms of certain q-Humbert functions. In our investigation, the qL2-transform and qℒ2-transform of certain q2-Humbert functions are considered. Several useful special cases have been deduced as applications of main results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135844148","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：