Pub Date : 2023-12-21DOI: 10.28924/2291-8639-21-2023-138
K. Dhanalakshmi, D. Kavitha, K. Anitha
In this article we obtain the best possible estimates, Fekete Szego inequality and bounds of second Hankel determinant for the function belonging to the new subclass of reciprocal order.
{"title":"Certain Bounds for a Subclasses of Analytic Functions of Reciprocal Order","authors":"K. Dhanalakshmi, D. Kavitha, K. Anitha","doi":"10.28924/2291-8639-21-2023-138","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-138","url":null,"abstract":"In this article we obtain the best possible estimates, Fekete Szego inequality and bounds of second Hankel determinant for the function belonging to the new subclass of reciprocal order.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"58 30","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949476","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 : 2023-12-21DOI: 10.28924/2291-8639-21-2023-139
C. P. Pandey, M. M. Dixit, Mopi Ado, Sunil Kumar Singh
The Sobolev space over locally compact abelian group Hs(G) is defined and we extend the continuous wavelet transform to Sobolev space Hs(G) for arbitrary real s. This generalisation of the wavelet transform naturally leads to a unitary operator between these spaces. Further, the asymptotic behaviour of the transforms of the L2 function for small scaling parameters is examined. In special cases, the wavelet transform converges to a generalized derivative of its argument. We also discuss the consequences for the discrete wavelet transform arising from this property. Numerical examples illustrate the main result.
{"title":"The Continuous Wavelet Transform in Sobolev Spaces Over Locally Compact Abelian Group and Its Approximation Properties","authors":"C. P. Pandey, M. M. Dixit, Mopi Ado, Sunil Kumar Singh","doi":"10.28924/2291-8639-21-2023-139","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-139","url":null,"abstract":"The Sobolev space over locally compact abelian group Hs(G) is defined and we extend the continuous wavelet transform to Sobolev space Hs(G) for arbitrary real s. This generalisation of the wavelet transform naturally leads to a unitary operator between these spaces. Further, the asymptotic behaviour of the transforms of the L2 function for small scaling parameters is examined. In special cases, the wavelet transform converges to a generalized derivative of its argument. We also discuss the consequences for the discrete wavelet transform arising from this property. Numerical examples illustrate the main result.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"14 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949140","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 : 2023-12-18DOI: 10.28924/2291-8639-21-2023-136
Zakaria Lamine, M. Mamouni, Mohammed Wadia Mansouri
Persistent homology is a tool from a set of methods called Topological data analysis, showing until nowadays a lot of success when it comes to application in biology since this latest uses metrics only for measuring similarities, Embedding the geometric details and focusing on the global shape is the key point making the success of persistent homology, this will be investigated in the paper since enormous work already done in the field and results seems to be endless, as an efficient topological data analysis tool. In this work we will be confirming the latest assumption (topology embeds geometry) by displaying the structure of COILED SERINE which is a protein estimated to constitute 3-5 percent of the encoded residues in most genomes, and giving a substitute of the optimal characteristic distance that can be used in the flexibility-rigidity index, a classic method used to simulate molecule movements and flexible behavior, when it comes to atomic rigidity functions. We will also analyze interesting patterns in the binding site of the beta sheet generated from the pdb file 2JOX. We will be detecting and giving a simple description of different patterns generated by using javaplex generating barcodes and linear statistical results as a summary statistics.
{"title":"A Topological Data Analysis of the Protein Structure","authors":"Zakaria Lamine, M. Mamouni, Mohammed Wadia Mansouri","doi":"10.28924/2291-8639-21-2023-136","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-136","url":null,"abstract":"Persistent homology is a tool from a set of methods called Topological data analysis, showing until nowadays a lot of success when it comes to application in biology since this latest uses metrics only for measuring similarities, Embedding the geometric details and focusing on the global shape is the key point making the success of persistent homology, this will be investigated in the paper since enormous work already done in the field and results seems to be endless, as an efficient topological data analysis tool. In this work we will be confirming the latest assumption (topology embeds geometry) by displaying the structure of COILED SERINE which is a protein estimated to constitute 3-5 percent of the encoded residues in most genomes, and giving a substitute of the optimal characteristic distance that can be used in the flexibility-rigidity index, a classic method used to simulate molecule movements and flexible behavior, when it comes to atomic rigidity functions. We will also analyze interesting patterns in the binding site of the beta sheet generated from the pdb file 2JOX. We will be detecting and giving a simple description of different patterns generated by using javaplex generating barcodes and linear statistical results as a summary statistics.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"1 8","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173444","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 : 2023-12-18DOI: 10.28924/2291-8639-21-2023-137
Y. Saber
The incentive of this article is to continue discovering more interesting results and concepts related to the single-valued neutrosophic soft topological spaces. The concept of the single-valued neutrosophic soft operator φ created from a single-valued neutrosophic soft grill (Kσ, Kτ, Kδ) and a single-valued neutrosophic soft topological space (B, ~T~σ, ~T~ς, ~T~δ) is presented. Connectedness of single-valued neutrosophic soft topological spaces with single-valued neutrosophic soft grills is given. Moreover, the concept of γ-connectedness associated with a single-valued neutrosophic soft operator γ is extended on the set B.
本文的目的是继续发现与单值中性软拓扑空间有关的更多有趣的结果和概念。本文提出了由单值中性软格栅（Kσ、Kτ、Kδ）和单值中性软拓扑空间（B、~T~σ、~T~ς、~T~δ）创建的单值中性软算子φ的概念。给出了单值中性软拓扑空间与单值中性软格栅的连通性。此外，还在集合 B 上扩展了与单值中性软算子 γ 相关的 γ 连通性概念。
{"title":"Connectedness in Single-Valued Neutrosophic Soft Grill Topological Spaces","authors":"Y. Saber","doi":"10.28924/2291-8639-21-2023-137","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-137","url":null,"abstract":"The incentive of this article is to continue discovering more interesting results and concepts related to the single-valued neutrosophic soft topological spaces. The concept of the single-valued neutrosophic soft operator φ created from a single-valued neutrosophic soft grill (Kσ, Kτ, Kδ) and a single-valued neutrosophic soft topological space (B, ~T~σ, ~T~ς, ~T~δ) is presented. Connectedness of single-valued neutrosophic soft topological spaces with single-valued neutrosophic soft grills is given. Moreover, the concept of γ-connectedness associated with a single-valued neutrosophic soft operator γ is extended on the set B.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"38 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175488","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 : 2023-12-08DOI: 10.28924/2291-8639-21-2023-134
B. S. Reddy, S. Vijayabalaji, N. Thillaigovindan, P. Balaji
Identifying the risk factor is a key to success for the Failure model. This paper presents a new FMEA (Failure Mode and Effect Analysis) in medical accident for the hospital management by using vague rough matrix information captured through vague rough set. Using β-product and β-complement product into fuzzy relation matrix and vague set to find the new lower and upper approximation of vague rough set. This method will provide an easy methodology to find the weight of risk factor. Using an example we validate our proposed approach.
识别风险因素是失败模型成功的关键。本文利用模糊粗糙集捕获的模糊粗糙矩阵信息，提出了一种新的医疗事故失效模式与影响分析(Failure Mode and Effect Analysis, FMEA)方法。将β-积和β-补积应用到模糊关系矩阵和模糊集中，求出模糊粗糙集新的上下逼近。该方法为确定风险因子权重提供了一种简便的方法。通过一个例子验证了我们提出的方法。
{"title":"A Vague Rough Set Approach for Failure Mode and Effect Analysis in Medical Accident","authors":"B. S. Reddy, S. Vijayabalaji, N. Thillaigovindan, P. Balaji","doi":"10.28924/2291-8639-21-2023-134","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-134","url":null,"abstract":"Identifying the risk factor is a key to success for the Failure model. This paper presents a new FMEA (Failure Mode and Effect Analysis) in medical accident for the hospital management by using vague rough matrix information captured through vague rough set. Using β-product and β-complement product into fuzzy relation matrix and vague set to find the new lower and upper approximation of vague rough set. This method will provide an easy methodology to find the weight of risk factor. Using an example we validate our proposed approach.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"71 24","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138586861","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 : 2023-12-08DOI: 10.28924/2291-8639-21-2023-135
Ali H. Hakami
In this paper we are concerned with a special case of Euler functions. We shall study the Euler product of degree two (Type of L-Euler functions) and give some results. More precisely, we shall deal with some Dirichlet series associated with a class of arithmetic {an} under the condition that apapk = apk+1 + pαapk−1, provided p is prime, k≥1, and α is a fixed complex number. We will demonstrate that there is an Euler’s product for the Dirichlet series Σnan/ns. This result is important in analysis, especially in analytic number theory.
{"title":"Note on Type L-Functions of Euler Product of Second Degree","authors":"Ali H. Hakami","doi":"10.28924/2291-8639-21-2023-135","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-135","url":null,"abstract":"In this paper we are concerned with a special case of Euler functions. We shall study the Euler product of degree two (Type of L-Euler functions) and give some results. More precisely, we shall deal with some Dirichlet series associated with a class of arithmetic {an} under the condition that apapk = apk+1 + pαapk−1, provided p is prime, k≥1, and α is a fixed complex number. We will demonstrate that there is an Euler’s product for the Dirichlet series Σnan/ns. This result is important in analysis, especially in analytic number theory.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"42 16","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138588371","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 : 2023-12-04DOI: 10.28924/2291-8639-21-2023-132
B. Smii, Dhaker Kroumi
We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.
{"title":"A Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE","authors":"B. Smii, Dhaker Kroumi","doi":"10.28924/2291-8639-21-2023-132","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-132","url":null,"abstract":"We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"16 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138601668","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 : 2023-12-04DOI: 10.28924/2291-8639-21-2023-131
M. B. Almatrafi, Messaoud Berkal
The main purpose of this work is to discuss the dynamics of a predator-prey dynamical system with Allee effect. The conformable fractional derivative is applied to convert the fractional derivatives which appear in the governing model into ordinary derivatives. We use the piecewise-constant approximation method to discritize the considered model. We also investigate the occurrence of positive equilibrium points. Moreover, we analyse the stability of the equilibrium point using some stability theorems. This work also explores a Neimark-Sacker bifurcation and a period-doubling bifurcation using the theory of bifurcations. The distance between the obtained equilibrium point and some closed curves is examined for various values for the considered bifurcation parameter. The chaos control is nicely analysed using the hybrid control approach. Furthermore, we present the maximum Lyapunov exponents for different values for the bifurcation parameter. Numerical simulations are utilized to ensure that the obtained theoretical results are correct. The used techniques can be applied to deal with predator-prey models in various versions.
{"title":"Bifurcation Analysis and Chaos Control for Prey-Predator Model With Allee Effect","authors":"M. B. Almatrafi, Messaoud Berkal","doi":"10.28924/2291-8639-21-2023-131","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-131","url":null,"abstract":"The main purpose of this work is to discuss the dynamics of a predator-prey dynamical system with Allee effect. The conformable fractional derivative is applied to convert the fractional derivatives which appear in the governing model into ordinary derivatives. We use the piecewise-constant approximation method to discritize the considered model. We also investigate the occurrence of positive equilibrium points. Moreover, we analyse the stability of the equilibrium point using some stability theorems. This work also explores a Neimark-Sacker bifurcation and a period-doubling bifurcation using the theory of bifurcations. The distance between the obtained equilibrium point and some closed curves is examined for various values for the considered bifurcation parameter. The chaos control is nicely analysed using the hybrid control approach. Furthermore, we present the maximum Lyapunov exponents for different values for the bifurcation parameter. Numerical simulations are utilized to ensure that the obtained theoretical results are correct. The used techniques can be applied to deal with predator-prey models in various versions.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"74 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138604747","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}
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel. Many new results can be deduced for several integral operators by giving specific values to the parameters involved in Mittag-Leffler function. Moreover, the results of this paper reproduce a lot of already published results.
{"title":"Grüss Type k-Fractional Integral Operator Inequalities and Allied Results","authors":"Ghulam Farid, Sajid Mehmood, Laxmi Rathour, Mawahib Elamin, Huda Uones Mohamd Ahamd, Neama Yahia","doi":"10.28924/2291-8639-21-2023-133","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-133","url":null,"abstract":"This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel. Many new results can be deduced for several integral operators by giving specific values to the parameters involved in Mittag-Leffler function. Moreover, the results of this paper reproduce a lot of already published results.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"3 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138602917","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 : 2023-11-28DOI: 10.28924/2291-8639-21-2023-130
Roumaissae El Jazzar, Rossafi Mohamed
Frame is a fundamental notion in the study of vector spaces; they offer redundancy and flexibility, which favor their application in various fields of mathematics. This article aims to collect important results of frames in Hibert pro-C∗-modules: Frame, ∗-frame, ∗-K-frame, g-frame, ∗-gframe, ∗-K-g-frame, operator frame, ∗-operator frame, ∗-K-operator frames. We also prove some new notions.
{"title":"On Frames in Hilbert Modules Over Locally C∗-Algebras","authors":"Roumaissae El Jazzar, Rossafi Mohamed","doi":"10.28924/2291-8639-21-2023-130","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-130","url":null,"abstract":"Frame is a fundamental notion in the study of vector spaces; they offer redundancy and flexibility, which favor their application in various fields of mathematics. This article aims to collect important results of frames in Hibert pro-C∗-modules: Frame, ∗-frame, ∗-K-frame, g-frame, ∗-gframe, ∗-K-g-frame, operator frame, ∗-operator frame, ∗-K-operator frames. We also prove some new notions.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"26 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139224786","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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