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Journal of Mathematical Inequalities最新文献

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Two lower bounds for the smallest singular value of matrices 矩阵最小奇异值的两个下界
3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-56
Wushu ng Liu, Xing ai Hu, Ya qun Wang, Yuan Yi
{"title":"Two lower bounds for the smallest singular value of matrices","authors":"Wushu ng Liu, Xing ai Hu, Ya qun Wang, Yuan Yi","doi":"10.7153/jmi-2023-17-56","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-56","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","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":"136373743","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}
引用次数: 0
The sharper version for generalized power mean inequalities with negative exponent 对于具有负指数的广义幂平均不等式的更清晰的版本
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-07
R. Tinaztepe, G. Tinaztepe, Zeynep Eken, Sevda Sezer, S. Kemali, Ilknur Yesilce Isik, S. S. Evcan
{"title":"The sharper version for generalized power mean inequalities with negative exponent","authors":"R. Tinaztepe, G. Tinaztepe, Zeynep Eken, Sevda Sezer, S. Kemali, Ilknur Yesilce Isik, S. S. Evcan","doi":"10.7153/jmi-2023-17-07","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-07","url":null,"abstract":". In this study, the generalized power mean inequalities with a negative parameter are re fi ned using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a re fi nement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these local inequalities are generalized to all positive vectors by an appropriate selection of parameters. Also, some of the results are exempli fi ed by numerical calculations.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165699","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}
引用次数: 1
Equivalence on Hiroshima's type inequalities for positive semidefinite block matrices 正半定块矩阵的广岛型不等式的等价性
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-23
Yun Zhang, Ha bo Zhang, Shuo Shi
{"title":"Equivalence on Hiroshima's type inequalities for positive semidefinite block matrices","authors":"Yun Zhang, Ha bo Zhang, Shuo Shi","doi":"10.7153/jmi-2023-17-23","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-23","url":null,"abstract":". In this paper, we prove that some Hiroshima’s type inequalities for positive semidefinite block matrices are equivalent. These interesting results are due to Hiroshima [Phys. Rev. Lett. 91 , (2003), 057902], Lin and Wolkowicz [Linear Multilinear Algebra 60 , 11–12 (2012), 1365–1368], Turkmen, Paksoy and Zhang [Linear Algebra Appl. 437 , 6 (2012), 1305–1316], Zhang and Xu [J. Math. Inequal. 14 , 4 (2020), 1383–1388], respectively.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166076","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}
引用次数: 0
The bounds of eigenvalue for complex singular boundary value problems 复奇异边值问题的特征值界
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-09
Fu Sun, Xiao ue Han
{"title":"The bounds of eigenvalue for complex singular boundary value problems","authors":"Fu Sun, Xiao ue Han","doi":"10.7153/jmi-2023-17-09","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-09","url":null,"abstract":". The present paper deals with “the perturbation of Legendre eigenvalue problem” with limit-circle type non-oscillation endpoints. The dissipative operators in limit-circle case are studied. Lower bounds on the real parts of all eigenvalues and the upper bounds on the imaginary parts of the non-real eigenvalues for this eigenvalue problem associated to a special separated boundary condition (see the below in ( ?? )) are obtained through a new method, partly inspired by the estimates obtained in Sun and Qi (Proc. Roy. Soc. Edinburgh A, 150:2607-2619, 2020).","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166120","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}
引用次数: 0
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay 涉及时滞的随机演化方程s渐近周期均方根解的存在性和渐近性
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-26
Qiang Li, Xuan Wu
{"title":"Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay","authors":"Qiang Li, Xuan Wu","doi":"10.7153/jmi-2023-17-26","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-26","url":null,"abstract":". This paper studies the stochastic evolution equations with fi nite delay. By means of the compact semigroup theory and Schauder fi xed point theorem, the existence of square-mean S -asymptotically periodic mild solutions is obtained under certain growth conditions. In addition, using the contraction mapping principle and Gronwall integral inequality, the uniqueness and global asymptotic stability of the square-mean S -asymptotically periodic mild solutions are discussed. Finally, an example is given to illustrate our abstract results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166155","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}
引用次数: 0
Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms Laplace-Stieltjes变换收敛横坐标上的一些不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-12
H. Xu, Z. Xuan
{"title":"Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms","authors":"H. Xu, Z. Xuan","doi":"10.7153/jmi-2023-17-12","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-12","url":null,"abstract":". By making use of the basic properties of Laplace-Stieltjes transform, we establish some inequalities concerning the abscissa of convergence, the abscissa of absolute convergence and the abscissa of uniform convergence of Laplace-Stieltjes transform (cid:2) ∞ 0 e st d α ( t ) . Moreover, we point out that our formulas for the three abscissas of convergence are consistent with the previous results given by Yu [26] for Laplace-Stieltjes transform under some conditions.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166228","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}
引用次数: 2
On complete moment convergence for weighted sums under negatively associated setup 负相关设置下加权和的完全矩收敛性
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-39
Haiwu Huang, Yanc un Yi, Xiong ao Wu
{"title":"On complete moment convergence for weighted sums under negatively associated setup","authors":"Haiwu Huang, Yanc un Yi, Xiong ao Wu","doi":"10.7153/jmi-2023-17-39","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-39","url":null,"abstract":". In this work, the complete moment convergence for weighted sums of negatively associated random variables is discussed without assumptions of identical distribution. Under the moment condition E | X |  / ( log ( 1 + | X | ))  /  − 1 <  for the case 0 <  <  with 1 <  (cid:2) 2, the complete moment convergence theorem for weighted sums of negatively associated setup is presented. The main results obtained in this article extend and improve the corresponding ones of Chen and Sung (Stat. Probabil. Lett., 92: 45–52 (2014)), Sung (Stat. Pap., 52: 447–454 (2011)).","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166434","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}
引用次数: 0
Some new improvements of Young's inequalities 杨氏不等式的一些新改进
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-15
Changsen Yang, Zhenq an Wang
{"title":"Some new improvements of Young's inequalities","authors":"Changsen Yang, Zhenq an Wang","doi":"10.7153/jmi-2023-17-15","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-15","url":null,"abstract":". In this paper, we obtain some improvements and generalizations of Young’s inequalities as the following:","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166473","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}
引用次数: 1
New quantum integral inequalities via m-convex functions over finite interval 有限区间上m-凸函数的新量子积分不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-45
M. Vivas-Cortez, A. Kashuri, Muhammad Raees, M. Anwar
{"title":"New quantum integral inequalities via m-convex functions over finite interval","authors":"M. Vivas-Cortez, A. Kashuri, Muhammad Raees, M. Anwar","doi":"10.7153/jmi-2023-17-45","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-45","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166629","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}
引用次数: 0
Complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent random variables m扩展负相关随机变量加权和的完全收敛和完全矩收敛
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-46
Xiang Huang, Yongf ng Wu
{"title":"Complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent random variables","authors":"Xiang Huang, Yongf ng Wu","doi":"10.7153/jmi-2023-17-46","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-46","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166641","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}
引用次数: 2
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