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Journal of Mathematical Inequalities最新文献

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Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means Toader均值(-1阶)的尖锐不等式用其他二元均值表示
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-10
Wei-Mao Qian, Hong-Hu Chu, Miao-Kun Wang, Yuming Chu
{"title":"Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means","authors":"Wei-Mao Qian, Hong-Hu Chu, Miao-Kun Wang, Yuming Chu","doi":"10.7153/jmi-2022-16-10","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-10","url":null,"abstract":". In the article, we present the best possible parameters α","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164104","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: 41
A fractional magnetic Hardy-Sobolev inequality with two variables 两个变量的分数磁性Hardy-Sobolev不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-14
Min Liu, De an Chen, Zhe yu Guo
{"title":"A fractional magnetic Hardy-Sobolev inequality with two variables","authors":"Min Liu, De an Chen, Zhe yu Guo","doi":"10.7153/jmi-2022-16-14","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-14","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164322","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
On multi-index Whittaker function, related integrals and inequalities 关于多指标Whittaker函数，相关积分和不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-37
Musharraf Ali, J. Paneva-Konovska, T. Pogány
{"title":"On multi-index Whittaker function, related integrals and inequalities","authors":"Musharraf Ali, J. Paneva-Konovska, T. Pogány","doi":"10.7153/jmi-2022-16-37","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-37","url":null,"abstract":". A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index confluent hypergeometric function of the first kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Leffler function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker function.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164515","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
Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration 具有迁移的分支过程的Lotka-Nagaev估计量的偏差估计
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-43
Deqi ng Yuan, Zhenl ng Gao
{"title":"Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration","authors":"Deqi ng Yuan, Zhenl ng Gao","doi":"10.7153/jmi-2022-16-43","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-43","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164636","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
On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind 第一类修正贝塞尔函数中Toader-Qi均值的新锐界
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-44
Cen Li, Zhi-Ming Liu, Shenzhou Zheng
{"title":"On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind","authors":"Cen Li, Zhi-Ming Liu, Shenzhou Zheng","doi":"10.7153/jmi-2022-16-44","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-44","url":null,"abstract":"Let A(a,b) , G(a,b) , L (a,b) and TQ(a,b) be the arithmetic, geometric, logarithmic and Toader-Qi means of a,b > 0 with a = b , respectively. Let Iv (x) be the modified Bessel functions of the first kind of order v . We prove the double inequality √ sinh t t Uq (t) < I0 (t) < √ sinh t t Up (t) holds for t > 0 , or equivalently, √ L (a,b)Uq (a,b) < TQ(a,b) < √ L (a,b)Up (a,b), holds for a,b > 0 with a = b , if and only if p 11/15 and 0 < q 2/π , where Up (t) = pcosh t−4 ( p− 2 3 )","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164688","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
Eigenvalues of the solution of the Lyapunov tensor equation 李雅普诺夫张量方程解的特征值
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-46
L. Liang
{"title":"Eigenvalues of the solution of the Lyapunov tensor equation","authors":"L. Liang","doi":"10.7153/jmi-2022-16-46","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-46","url":null,"abstract":". The paper is concerned with H ( Z ) -eigenvalues of the solution of the Lyapunov ten- sor equation. According to the Lyapunov algebraic theorem on tensors, bounds for H ( Z ) eigenvalues of the solution are given fi rstly, then based on the relationship between the Lya- punov tensor equation and the continuous-time linear uncertain system, conditional inequalities for the asymptotic stability of the system are shown by H ( Z ) -eigenvalues of the solution of the Lyapunov tensor equation.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164711","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
Threshold dynamics behaviors of a stochastic SIRS epidemic model with a parameter functional value 具有参数泛函值的SIRS流行病随机模型的阈值动力学行为
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-52
Jian uo Sun, Miaom ao Gao
{"title":"Threshold dynamics behaviors of a stochastic SIRS epidemic model with a parameter functional value","authors":"Jian uo Sun, Miaom ao Gao","doi":"10.7153/jmi-2022-16-52","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-52","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165080","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
Numerical ranges of sum of two weighted composition operators on the Hardy space H^2 Hardy空间H^2上两个加权复合算子和的数值值域
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-92
M. H. Shaabani, Narjes Vafaei
{"title":"Numerical ranges of sum of two weighted composition operators on the Hardy space H^2","authors":"M. H. Shaabani, Narjes Vafaei","doi":"10.7153/jmi-2022-16-92","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-92","url":null,"abstract":". Let ϕ be an analytic self-map of the open unit disk D and let ψ be an analytic function on D . The weighted composition operator C ψ , ϕ is the operator on the Hardy space H 2 given by C ψ , ϕ f = ψ f ◦ ϕ . Under some conditions on ϕ 1 and ϕ 2 , we try to fi nd a subset of the numerical range of C ψ 1 , ϕ 1 + C ψ 2 , ϕ 2 and determine when zero lies in the interior of the numerical range of C ψ 1 , ϕ 1 + C ψ 2 , ϕ 2 .","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165785","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 nonexistence of extremals for the Hardy-Trudinger-Moser inequality in the hyperbolic space 双曲空间中Hardy-Trudinger-Moser不等式极值的不存在性
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-08
Qian in Luo
{"title":"The nonexistence of extremals for the Hardy-Trudinger-Moser inequality in the hyperbolic space","authors":"Qian in Luo","doi":"10.7153/jmi-2022-16-08","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-08","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164027","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
Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3 第n次幂型Toader均值n=-1,1,3的最优Lehmer均值界
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-12
Tie-hong Zhao, Hong-Hu Chu, Yuming Chu
{"title":"Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3","authors":"Tie-hong Zhao, Hong-Hu Chu, Yuming Chu","doi":"10.7153/jmi-2022-16-12","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-12","url":null,"abstract":"In the article, we prove that λ1 = 0 , μ1 = 5/8 , λ2 = −1/8 , μ2 = 0 , λ3 = −1 and μ3 = −7/8 are the best possible parameters such that the double inequalities Lλ1 (a,b) < T3(a,b) < Lμ1 (a,b), Lλ2 (a,b) < T1(a,b) < Lμ2 (a,b), Lλ3 (a,b) < T−1(a,b) < Lμ3 (a,b) hold for a,b > 0 with a = b , and provide new bounds for the complete elliptic integral of the second kind E (r) = ∫ π/2 0 (1− r2 sin2 θ )1/2dθ on the interval (0,1) , where Lp(a,b) = (ap+1 + bp+1)/(ap +bp) is the p -th Lehmer mean and Tn(a,b) = ( 2 π ∫ π/2 0 √ an cos2 θ +bn sin2 θdθ )2/n is the n th power-type Toader mean. Mathematics subject classification (2020): 26E60, 33E05.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164313","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: 29
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