{"title":"Estimating the remainder of an alternating p-series using hypergeometric functions","authors":"Othman Echi, A. Khalfallah, Dhaker Kroumi","doi":"10.7153/jmi-2023-17-36","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-36","url":null,"abstract":". In this paper, using hypergeometric functions, we provide sharp estimates of the re-mainder of the alternating p -series, n","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Block decomposition for Herz spaces associated with ball Banach function spaces","authors":"Mingq an Wei","doi":"10.7153/jmi-2023-17-42","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-42","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment","authors":"Xiaoqi ng Wang, Jiuji ng Wu, Chun ao Huang","doi":"10.7153/jmi-2023-17-22","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-22","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The sharp bound of the third Hankel determinant for Convex functions of order -1/2","authors":"B. Kowalczyk, A. Lecko, D. Thomas","doi":"10.7153/jmi-2023-17-14","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-14","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"15 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the local Ritt resolvent condition","authors":"Abdellah Akrym, A. El Bakkali","doi":"10.7153/jmi-2023-17-16","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-16","url":null,"abstract":". Let T be a linear bounded operator on a complex Banach space X . In this paper, we introduce a local version of the Ritt resolvent condition [ LR ] for Banach space operators T . We start by showing that this concept is weaker than the classical Ritt condition [ R ] . We prove that, for operators with single-valued extension property (SVEP), estimate [ LR ] extends, with a larger constant, to some sector K δ . Moreover, by extending some Ritt’s theorems to the local case for operators with the SVEP, several characterizations of the local sublinear decay of T n − T n + 1 have been established.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Functional bounds for Exton's double hypergeometric X function","authors":"Dragana Jankov Maširević, T. Pogány","doi":"10.7153/jmi-2023-17-18","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-18","url":null,"abstract":". Functional and uniform bounds for Exton’s generalized hypergeometric X function of two variables and an associated incomplete Lipschitz–Hankel integral, as an auxiliary result, are obtained. A by-product for the Srivastava-Daoust generalized hypergeometric function of three variables is given by another derivation method. The main tools are certain representation formulae for the McKay I ν Bessel probability distribution’s cumulative distribution function established recently in [3,5].","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiplicative perturbation analysis for the generalized Cholesky block downdating problem","authors":"M. Samar, Xinzh ng Zhu","doi":"10.7153/jmi-2023-17-34","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-34","url":null,"abstract":". This article is devoted to the multiplicative perturbation analysis of the generalized Cholesky block downdating problem. The strong rigorous multiplicative perturbation bounds are fi rst presented by bringing together the modi fi ed matrix-vector equation approach with the technique of Lyapunov majorant function and the Banach fi xed point theorem. Then, the weak rigorous multiplicative bounds are developed by using the matrix-equation approach. Numerical results demonstrate that these bounds are constantly tighter than the additive perturbation bounds.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lei Shi, Muhammad Arif, H. M. Srivastava, Muhammad Ihsan
{"title":"Sharp bounds on the Hankel determinant of the inverse functions for certain analytic functions","authors":"Lei Shi, Muhammad Arif, H. M. Srivastava, Muhammad Ihsan","doi":"10.7153/jmi-2023-17-73","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-73","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"69 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":"136373206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The third-order Hermitian Toeplitz determinant for some classes of analytic functions","authors":"A. Lecko, Barbara Śmiarowska","doi":"10.7153/jmi-2023-17-60","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-60","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"143 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":"136373453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some new numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators","authors":"Chao un Yang, Ming ua Xu","doi":"10.7153/jmi-2023-17-19","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-19","url":null,"abstract":". In this article, we give new upper and lower bounds of numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators. In particular, we show that if X ∈ C 2 with the Cartesian decomposition X = A + iB , then","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}