In this paper, we study the concept of statistical convergence on L?fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L?fuzzy normed spaces.
{"title":"Statistical convergence on L−fuzzy normed space","authors":"Reha Yapali, Hüsamettin Çoskun, U. Gürdal","doi":"10.2298/fil2307077y","DOIUrl":"https://doi.org/10.2298/fil2307077y","url":null,"abstract":"In this paper, we study the concept of statistical convergence on L?fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L?fuzzy normed spaces.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a class of complex-valued neural networks with time-varying delays is studied. By employing an extension of Mawhin?s continuation theorem and an approximation technique, several sufficient conditions of the new results on the existence of homoclinic solutions and periodic solutions are established. Moreover, the asymptotic behavior of solutions via the Lyapunov function is also investigated. Finally, for the purpose of validity, an example is given to illustrate the effectiveness of main results.
{"title":"Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays","authors":"Ling Sun, F. Kong","doi":"10.2298/fil2307997s","DOIUrl":"https://doi.org/10.2298/fil2307997s","url":null,"abstract":"In this paper, a class of complex-valued neural networks with time-varying delays is studied. By employing an extension of Mawhin?s continuation theorem and an approximation technique, several sufficient conditions of the new results on the existence of homoclinic solutions and periodic solutions are established. Moreover, the asymptotic behavior of solutions via the Lyapunov function is also investigated. Finally, for the purpose of validity, an example is given to illustrate the effectiveness of main results.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space-times.
{"title":"Gradient Ricci-Yamabe solitons on warped product manifolds","authors":"Fatma Karaca","doi":"10.2298/fil2307199k","DOIUrl":"https://doi.org/10.2298/fil2307199k","url":null,"abstract":"We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space-times.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we prove that an almost Kenmotsu manifold M has constant Reeb sectional curvatures if and only if M has conformal Reeb foliation. Onan almost Kenmotsu h-a-manifold of dimension three having constant ?-sectional curvature, the Reeb vector field is an eigenvector field of the Ricci operator if and only if the manifold is locally isometric to a non-unimodular Lie group.
{"title":"Almost Kenmotsu manifolds with constant Reeb or Ф-sectional curvatures","authors":"Yaning Wang, Pei Wang","doi":"10.2298/fil2308495w","DOIUrl":"https://doi.org/10.2298/fil2308495w","url":null,"abstract":"In this paper, we prove that an almost Kenmotsu manifold M has constant Reeb sectional curvatures if and only if M has conformal Reeb foliation. Onan almost Kenmotsu h-a-manifold of dimension three having constant ?-sectional curvature, the Reeb vector field is an eigenvector field of the Ricci operator if and only if the manifold is locally isometric to a non-unimodular Lie group.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68275522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.
{"title":"Shapiro’s uncertainty principles and scalogram associated with the Riemann-Liouville wavelet transform","authors":"H. Mejjaoli, F. Shah","doi":"10.2298/fil2301043m","DOIUrl":"https://doi.org/10.2298/fil2301043m","url":null,"abstract":"The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main objective of this paper is to extend the notion of harmonic convex functions for three variables. Some associated Hermite-Hadamard type of integral inequalities are also obtained.
{"title":"On harmonic convex functions of three variables and related Hermite-Hadamard inequalities","authors":"M. Noor, K. Noor, S. Iftikhar, M. Awan","doi":"10.2298/fil2302335n","DOIUrl":"https://doi.org/10.2298/fil2302335n","url":null,"abstract":"The main objective of this paper is to extend the notion of harmonic convex functions for three variables. Some associated Hermite-Hadamard type of integral inequalities are also obtained.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"18 2 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, generalized multivalued vector inverse quasi-variational inequality problems are developed, and error bounds are obtained in terms of the residual gap function, the regularized gap function, and the D-gap function. With the help of these constraints, one can effectively estimate the distances between any feasible point and the solution set of problems involving generalized multivalued vector inverse quasi-variational inequality.
{"title":"The study of error bounds for generalized vector inverse mixed quasi-variational inequalities","authors":"J. Kim, S. Salahuddin, A. Ahmadini","doi":"10.2298/fil2302627k","DOIUrl":"https://doi.org/10.2298/fil2302627k","url":null,"abstract":"In this study, generalized multivalued vector inverse quasi-variational inequality problems are developed, and error bounds are obtained in terms of the residual gap function, the regularized gap function, and the D-gap function. With the help of these constraints, one can effectively estimate the distances between any feasible point and the solution set of problems involving generalized multivalued vector inverse quasi-variational inequality.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We introduce new Banach spaces e?,? 0 (q) and e?,? c (q) defined as the domain of generalized q-Euler matrix E?,?(q) in the spaces c0 and c, respectively. Some topological properties and inclusion relations related to the newly defined spaces are exhibited. We determine the bases and obtain K?the duals of the spaces e?,? 0 (q) and e?,? c (q). We characterize certain matrix mappings from the spaces e?,? 0 (q) and e?,? c (q) to the space S ? {??, c, c0, ?1, bs, cs, cs0}. We compute necessary and sufficient conditions for a matrix operator to be compact from the space e?,? 0 (q) to the space S ? {??, c, c0, ?1, bs, cs, cs0} using Hausdorff measure of non-compactness. Finally, we give point spectrum of the matrix E?,?(q) in the space c.
{"title":"On the domain of q-Euler matrix in c and c0 with its point spectra","authors":"Taja Yaying, B. Hazarika, Liquan Mei","doi":"10.2298/fil2302643y","DOIUrl":"https://doi.org/10.2298/fil2302643y","url":null,"abstract":"We introduce new Banach spaces e?,? 0 (q) and e?,? c (q) defined as the domain of generalized q-Euler matrix E?,?(q) in the spaces c0 and c, respectively. Some topological properties and inclusion relations related to the newly defined spaces are exhibited. We determine the bases and obtain K?the duals of the spaces e?,? 0 (q) and e?,? c (q). We characterize certain matrix mappings from the spaces e?,? 0 (q) and e?,? c (q) to the space S ? {??, c, c0, ?1, bs, cs, cs0}. We compute necessary and sufficient conditions for a matrix operator to be compact from the space e?,? 0 (q) to the space S ? {??, c, c0, ?1, bs, cs, cs0} using Hausdorff measure of non-compactness. Finally, we give point spectrum of the matrix E?,?(q) in the space c.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.
{"title":"Lp-inequalities and Parseval-type relations for the index 2F1-transform","authors":"B. J. González, E. Negrín","doi":"10.2298/fil2304087g","DOIUrl":"https://doi.org/10.2298/fil2304087g","url":null,"abstract":"In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.
{"title":"Approximation properties of semi-exponential Szász-Mirakyan-Kantorovich operators","authors":"Gunjan Agrawal, Vijay Gupta","doi":"10.2298/fil2304097a","DOIUrl":"https://doi.org/10.2298/fil2304097a","url":null,"abstract":"In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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：