Results 1 to 10 of about 227,128 (319)
Extensions of interpolation between the arithmetic-geometric mean inequality for matrices [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are n × n $n\times n$ matrices, then ∥ A X B ∗ ∥ 2 ≤ ∥ f 1 ( A ∗ A ) X g 1 ( B ∗ B ) ∥ ∥ f
Mojtaba Bakherad +2 more
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On the arithmetic-geometric mean inequality [PDF]
Journal of Mathematical Inequalities, 2021 In this article, we present a new treatment of the arithmetic-geometric mean inequality and its siblings, the Heinz and the Young inequalities. New refinements via calculus computations and convex analysis are presented and a new Heinz-type inequality is
M. Sababheh +3 more
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Weighted arithmetic–geometric operator mean inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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Yet another note on the arithmetic-geometric mean inequality [PDF]
Studia Mathematica, 2020 It was shown by E. Gluskin and V.D. Milman in [GAFA Lecture Notes in Math. 1807, 2003] that the classical arithmetic-geometric mean inequality can be reversed (up to a multiplicative constant) with high probability, when applied to coordinates of a ...
Kabluchko, Zakhar +2 more
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Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]
Information, 2013 Jensen-Shannon, J-divergence and Arithmetic-Geometric mean divergences are three classical divergence measures known in the information theory and statistics literature.
Inder Jeet Taneja
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BiomedicinesBackground: Fold change is a common metric in biomedical research for quantifying group differences in omics variables. However, inconsistent calculation methods and inadequate reporting lead to discrepancies in results. This study evaluated various fold-
Jörn Lötsch +2 more
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Journal of Function Spaces, 2016 We present the best possible parameters α1,β1,α2,β2∈R and α3,β3∈(1/2,1) such that the double inequalities Qα1(a,b)A1-α1(a,b)
Hua Wang, Wei-Mao Qian, Yu-Ming Chu
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Sharp bounds for the arithmetic-geometric mean [PDF]
Journal of Inequalities and Applications, 2014 In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.MSC:26E60, 26D07, 33E05.
Zhen-Hang Yang, Ying-Qing Song, Y. Chu
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On the irregularity of graphs based on the arithmetic-geometric mean inequality
Mathematical Inequalities & Applications, 2023 . For a graph G of order n , size m and degree sequence D ( G ) = ( d 1 , d 2 ,..., d n ) , a new measure of irregularity I AG ( G ) = 1 − n n ( d 1 + r )( d 2 + r ) ··· ( d n + r ) / ( 2 m + rn ) n , r ∈ R (cid:2) 0 , is introduced.
A. Ghalavand, A. Ashrafi, D. Dimitrov
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OMPLEMENTARY OF CLASSICAL MEANS WITH RESPECT TO HERON MEAN AND THEIR SCHUR CONVEXITIES [PDF]
Proceedings on Engineering Sciences, 2021 In this paper, the complementary of arithmetic mean, geometric mean, harmonic mean and contra harmonic mean with respect to Heron mean are defined. Further, by finding the partial derivatives developed the Schur convexity and Schur geometric convexity ...
K M Nagaraja +3 more
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