Results 61 to 70 of about 703,468 (190)
Journal of Inequalities and Applications, 2021 We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
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A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information
, 2007 While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, Shannon's entropy power inequality (EPI) seems to be an exception: available information theoretic proofs of the EPI hinge on ...
Rioul, Olivier
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Gender income disparity in the USA: analysis and dynamic modelling [PDF]
, 2015 We analyze and develop a quantitative model describing the evolution of personal income distribution, PID, for males and females in the U.S. between 1930 and 2014.
Kitov, Ivan, Kitov, Oleg
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Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]
Sahand Communications in Mathematical AnalysisIn this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran +2 more
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Information Theoretic Proofs of Entropy Power Inequalities
, 2010 While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, up to now Shannon's entropy power inequality (EPI) is an exception: Existing information theoretic proofs of the EPI hinge on ...
Rioul, Olivier
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Inequalities between Power Means and Convex Combinations of the Harmonic and Logarithmic Means [PDF]
Journal of Applied Mathematics, 2012 We prove that αH(a, b)+(1 − α)L(a, b) > M(1−4α)/3(a, b) for α ∈ (0, 1) and all a, b > 0 with a ≠ b if and only if α ∈ [1/4, 1) and αH(a, b)+(1 − α)L(a, b) < M(1−4α)/3(a, b) if and only if , and the parameter (1 − 4α)/3 is the best possible in either case.
Qian, Wei-Mao, Shen, Zhong-Hua
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Determination of Bounds for the Jensen Gap and Its Applications
Mathematics, 2021 The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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Some matrix inequalities for weighted power mean [PDF]
Annals of Functional Analysis, 2016 In this paper, we prove that, for any positive definite matrices A,B, and real numbers ν,μ,p with −1 ...
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A power mean inequality for the Grötzsch ring function [PDF]
Mathematical Inequalities & Applications, 2011 The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
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HeliyonConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
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