{"title":"Exact exponents for inclusion of discrete Muckenhoupt classes into Gehring classes and reverse","authors":"Samir H. Saker, Ramy R. Mahmoud, Mario Krnić","doi":"10.7153/jmi-2023-17-61","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-61","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"23 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":"136372933","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":"Asymptotics for random-time ruin probability of a risk model with diffusion, constant interest force and non-stationary arrivals","authors":"X jun Liu, Qin wu Gao","doi":"10.7153/jmi-2023-17-54","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-54","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"241 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":"136373452","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":"Asymptotic properties of stochastic prey-predator models","authors":"Guang in Wang, Jingli ng Lv, Xiaol ng Zou","doi":"10.7153/jmi-2023-17-71","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-71","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","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":"136373455","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":"Hermite-Hadamard-type inequalities for ^✱differentiable multiplicative m-preinvexity and (s,m)-preinvexity via the multiplicative tempered fractional integrals","authors":"None Yu Peng, Ting-Song Du","doi":"10.7153/jmi-2023-17-77","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-77","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"25 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":"136373456","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}
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh
{"title":"Quasi-convex and Q-class functions","authors":"Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh","doi":"10.7153/jmi-2023-17-57","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-57","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"43 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":"136373462","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":"A new isoperimetric-type inequality and its stability","authors":"Xin Chen, Xiang Gao","doi":"10.7153/jmi-2023-17-59","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-59","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"241 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":"135002952","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}
Choonkill Park, A. Najati, M. B. Moghimi, B. Noori
. In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Ciepli´nski, K. Ulam stability of functional equations in 2-Banach spaces via the fi xed point method. J. Fixed Point Theory Appl. 23 (2021
． 本文研究了2-Banach空间中两个多变量泛函方程的Ulam稳定性和超稳定性。多加性和多延森函数是这些函数方程的特殊情况。利用不动点法改进了2-Banach空间中泛函方程稳定性[Ciepli ' nski, K. Ulam]定理3和定理4的主要结果。[j] .不动点理论应用，23 (2021)
{"title":"Approximation of two general functional equations in 2-Banach spaces","authors":"Choonkill Park, A. Najati, M. B. Moghimi, B. Noori","doi":"10.7153/jmi-2023-17-11","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-11","url":null,"abstract":". In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Ciepli´nski, K. Ulam stability of functional equations in 2-Banach spaces via the fi xed point method. J. Fixed Point Theory Appl. 23 (2021","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":"71166184","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}
. In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for the Davis-Wielandt Berezin number are also discussed. Some bounds for the Davis-Wielandt Berezin number for n × n operator matrices are established.
{"title":"Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number","authors":"M. Alomari, M. Hajmohamadi, M. Bakherad","doi":"10.7153/jmi-2023-17-17","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-17","url":null,"abstract":". In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for the Davis-Wielandt Berezin number are also discussed. Some bounds for the Davis-Wielandt Berezin number for n × n operator matrices are 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":"71166421","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}
. This study is devoted to investigate the almost sure stability of a class of nonlinear delay hybrid stochastic system driven by L´evy noise. We derive that the system has a unique global solution. Then, we discuss the almost sure stability of the stochastic system. A numerical example is provided to verify the results.
{"title":"Almost surely stability of delay hybrid stochastic system driven by Lévy noise","authors":"Chao Wei","doi":"10.7153/jmi-2023-17-41","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-41","url":null,"abstract":". This study is devoted to investigate the almost sure stability of a class of nonlinear delay hybrid stochastic system driven by L´evy noise. We derive that the system has a unique global solution. Then, we discuss the almost sure stability of the stochastic system. A numerical example is provided to verify the results.","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":"71166052","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}
. In this paper, in order to investigate a Gronwall inequality with state-dependence, another auxiliary map-type Gronwall inequality is discussed by modifying the technique of sequential monotonization on functions into the one on maps. Then we employ the state-dependent Gronwall inequality to give the estimate and boundedness of solutions for a functional differential equation with state-dependence. Finally, we exhibit a concrete example of bounded solutions as application.
{"title":"A map-type Gronwall inequality on functional differential equations with state-dependence","authors":"Jun Zhou","doi":"10.7153/jmi-2023-17-08","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-08","url":null,"abstract":". In this paper, in order to investigate a Gronwall inequality with state-dependence, another auxiliary map-type Gronwall inequality is discussed by modifying the technique of sequential monotonization on functions into the one on maps. Then we employ the state-dependent Gronwall inequality to give the estimate and boundedness of solutions for a functional differential equation with state-dependence. Finally, we exhibit a concrete example of bounded solutions as application.","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":"71166107","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}
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