In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3. Additionally, we present some geometric results and interpretations. Then, we construct numerical examples with illustrative figures in order to support the given materials.
{"title":"The spinor representations of framed Bertrand curves","authors":"Zehra İşbilir, Bahar Yazıcı, Murat Tosun","doi":"10.2298/fil2309831i","DOIUrl":"https://doi.org/10.2298/fil2309831i","url":null,"abstract":"In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3. Additionally, we present some geometric results and interpretations. Then, we construct numerical examples with illustrative figures in order to support the given materials.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594435","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}
Let A and B be two unital prime complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of the bijective mappings ? ? A ? B preserving sum of products ?1ab* + ?2b*a + ?3ba* (resp., ?1ab* + ?2b*a + ?3a*b), where the scalars {?k}3k =1 are rational numbers satisfying some conditions.
{"title":"Mappings preserving sum of products α1ab* + α2b*a + α3ba* (resp., Α1ab* + α2b*a + α3a*b) on *-algebras","authors":"Ali Taghavi, Motta da, Maria Marietto","doi":"10.2298/fil2309799t","DOIUrl":"https://doi.org/10.2298/fil2309799t","url":null,"abstract":"Let A and B be two unital prime complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of the bijective mappings ? ? A ? B preserving sum of products ?1ab* + ?2b*a + ?3ba* (resp., ?1ab* + ?2b*a + ?3a*b), where the scalars {?k}3k =1 are rational numbers satisfying some conditions.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135595950","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}
This paper deals with the existence and uniqueness of solution for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions. The novelty of this work is that it is more general than the works based on the derivative of Caputo and Riemann-Liouville, because when ? = 0 we find the Riemann-Liouville fractional derivative and when ? = 1 we find the Caputo fractional derivative. Initially, we give some definitions and notions that will be used throughout the work, after that we will establish the existence and uniqueness results by employing the fixed point theorems. Finaly, we investigate different kinds of stability such as Ulam-Hyers stability, generalized Ulam-Hyers stability.
{"title":"Existence and stability results for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions","authors":"Khalid Hilal, Ahmed Kajouni, Hamid Lmou","doi":"10.2298/fil2304241h","DOIUrl":"https://doi.org/10.2298/fil2304241h","url":null,"abstract":"This paper deals with the existence and uniqueness of solution for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions. The novelty of this work is that it is more general than the works based on the derivative of Caputo and Riemann-Liouville, because when ? = 0 we find the Riemann-Liouville fractional derivative and when ? = 1 we find the Caputo fractional derivative. Initially, we give some definitions and notions that will be used throughout the work, after that we will establish the existence and uniqueness results by employing the fixed point theorems. Finaly, we investigate different kinds of stability such as Ulam-Hyers stability, generalized Ulam-Hyers stability.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135686288","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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
In this article, we study a system of viscoelastic parabolic type Kirchhoff equation with multiple nonlinearities. We obtain a finite time blow up of solutions and exponential growth of solution with negative initial energy.
{"title":"Blow up and growth of solutions to a viscoelastic parabolic type Kirchhoff equation","authors":"E. Pişkin, F. Ekinci","doi":"10.2298/fil2302519p","DOIUrl":"https://doi.org/10.2298/fil2302519p","url":null,"abstract":"In this article, we study a system of viscoelastic parabolic type Kirchhoff equation with multiple nonlinearities. We obtain a finite time blow up of solutions and exponential growth of solution with negative initial energy.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267596","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}
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