检索结果-南通市图书馆

Sharps Bounds for power mean in Terms of Contraharmonic mean

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2020年第7期8卷 1229-1235页

作者： Zeid I. Almuhiameed Department of Mathematics College of Sciences Qassim University Al-Mulida Qassim KSA

In this research work, we consider the below inequalities: (1.1). The researchers attempt to find an answer as to what are the best possible parameters α, β that (1.1) can be held? The main tool is the optimization of some suitable functions that we seek to find out. Without loss of generality, we have assumed that a > b and let for 1) and a b, (t small) for 2) to determine the condition for α and β to become f(t) ≤ 0 and g(t) ≥ 0.

关键词： Sharps Bounds power mean Contraharmonic mean

Generalizations of mixed weighted power mean inequality

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Shanghai University(English Edition) 2006年第3期10卷 192-197页

作者：马统一张海娟 Department of Mathematics Hexi University Zhangye 734000 P.R. China Five Years Successive Eduvation Department Rizhao Vocational and Technical College. Rizhao 276826 P.R. China

Tarnavas established mixed weighted power mean inequality in 1999. A separation of weighted power mean inequslity was derived in this paper. As its applications, some separations of other inequalities were given.

关键词： inequality power mean weighted power mean mixed weighted power mean difference function of mixed weightedpower mean separation,

THE OPTIMAL GENERALIZED LOGARITHMIC mean BOUNDS FOR SEIFFERT'S mean

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2012年第4期32卷 1619-1626页

作者：褚玉明王淼坤王根娣 Department of Mathematics Hunan City UniversityYiyang 413000China College of Mathematics and Econometrics Hunan UniversityChangsha 410082China Department of Mathematics Huzhou Teachers CollegeHuzhou 313000China

For p ∈ R, the generalized logarithmic mean Lp（a, b） and Seiffert＇s mean T（a, b） of two positive real numbers a and b are defined in （1.1） and （1.2） below respectively. In this paper, we find the greatest p and least q such that the double-inequality Lp（a, b）〈 T（a,b）〈 Lq（a,b） holds for all a,b 〉 0 and a ≠ b.

关键词： generalized logarithmic mean Seiffert's mean power mean

RIGHT mean FOR THEα-z BURES-WASSERSTEIN QUANTUM DIVERGENCE

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2023年第5期43卷 2320-2332页

作者： Miran JEONG Jinmi HWANG Sejong KIM Department of Mathematics Chungbuk National UniversityCheongju 28644Korea Department of Mathematics Sungkyunkwan UniversitySuwon 16419Korea

The optimization problem to minimize the weighted sum ofα-z Bures-Wasserstein quantum divergences to given positive definite Hermitian matrices has been *** call the unique minimizer theα-z weighted right mean,which provides a new non-commutative version of generalized mean(H?lder mean).We investigate its fundamental properties,and give many interesting operator inequalities with the matrix power mean including the Cartan ***,we verify the trace inequality with the Wasserstein mean and provide bounds for the Hadamard product of two right means.

关键词： Rényi relative entropy Bures-Wasserstein quantum divergence right mean power mean Cartan mean Wasserstein mean

Another Extension of the Mitrinovic-Djokovic Inequality

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 1993年第3期8卷 108-110页

作者：王振陈计 Inst.of Math.Sci. Academia Sinica Dept.of Math. Ningbo University

Another generalization of the Mitrinovic-Djokovic inequality is proved by elementary means.

关键词： power mean inequality

An Extension of the Mitrinovi c-Djokovi e Inequality

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 1992年第4期7卷 95-99页

作者：王振陈计 Inst. of Math. Sci. Academia Sinica Dept. of Math. Ningbo University

A certain generalization of the Mitrinovi c-Djokovi c inequality is proved by means of elementary calculus.

关键词： power mean inequality

Remarks on Two Papers by Y.H. Kim

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2004年第1期24卷 18-20页

作者：刘证鞍山科技大学理学院辽宁鞍山114044

Errors and oversights in two papers by Y. H. Kim on some inequalities are pointed out and corrected.

关键词： inequality power mean extended mean value.

Comparison of Some means

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2002年第4期22卷 583-588页

作者：刘证鞍山科技大学理学院辽宁鞍山114002

The known results on comparison of extended mean values are used to compare power means, Stolarsky means and Heron mean. Some proofs of well known results are simplified with several new results obtained.

关键词： extended mean value power mean Stolarsky mean Heron mean