Results 191 to 200 of about 1,075 (214)

On the similarity of the entropy power inequality and the Brunn- Minkowski inequality (Corresp.)

IEEE Transactions on Information Theory, 1984
Summary: The entropy power inequality states that the effective variance (entropy power) of the sum of two independent random variables is greater than the sum of their effective variances. The Brunn-Minkowski inequality states that the effective radius of the set sum of two sets is greater than the sum of their effective radii. Both these inequalities
Max H. M. Costa, Thomas M. Cover
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Brunn-Minkowski inequality

2000
This section is basic for our further considerations and is devoted to those convex sets which lie in finite-dimensional topological vector spaces. As mentioned in the previous section, if E is an arbitrary finite-dimensional (Hausdorff) topological vector space, then E is isomorphic to some Euclidean space R n .
V. V. Buldygin, A. B. Kharazishvili
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Reverse Minkowski Inequalities Pertaining to New Weighted Generalized Fractional Integral Operators

Fractal and Fractional, 2022
P O Mohammed, Y S Hamed, Artion Kashuri
exaly  

Hölder’s Inequality, Minkowski’s Inequality and Their Variants

2012
In this chapter we’ll introduce two very useful inequalities with broad practical usage: Holder’s inequality and Minkowski’s inequality. We’ll also present few variants of these inequalities. For that purpose we will firstly introduce the following theorem.
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Inequalities of Minkowski type

Real analysis exchange, 1994
Let f be a real nonnegative, nondecreasing function defined on segment a, b, and x_i are nonnegative nondecreasing functions with continuous first derivative. If p>1, then (\int_a^b (\sum_{; ; i=1}; ; ^n x_i^p(t))'f(t)dt)^{; ; 1/p}; ; \geq \sum_{; ; i=1}; ; ^n (\int_a^b (x_i^p(t))'f(t)dt)^{; ; 1/p}; ; .
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The Dual Brunn–Minkowski Inequalities in Spherical and Hyperbolic Spaces

Bulletin of the Iranian Mathematical Society, 2022
Yunwei Xia
exaly  

Minkowski inequalities and constrained inverse curvature flows in warped spaces

Advances in Calculus of Variations, 2022
Julian Scheuer
exaly  

General Minkowski type inequalities for Sugeno integrals

Fuzzy Sets and Systems, 2010
Radko Mesiar, Hamzeh Agahi, Yao Ouyang   +2 more
exaly  

The Brunn-Minkowski type inequalities for mixed brightness-integrals

Wuhan University Journal of Natural Sciences, 2015
Weidong Wang, Feng Yibin
exaly  

The Minkowski’s inequalities via $$\psi$$-Riemann–Liouville fractional integral operators

Rendiconti Del Circolo Matematico Di Palermo, 2020
Deepak B Pachpatte, Tariq A Aljaaidi, Pachpatte Deepak B   +2 more
exaly