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Then the generalized Minkowski integral inequality ρ(λ(f x )) ≤ Mλ(ρ(f y )) holds for all measurable functions f(x,y) and some fixed constant M if and only if there exists 1 ≤ ρ ≤ ∞ such that λ is p-concave and ρ is p-convex.
6 jul 2024
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16 ene 2024 · Minkowski's inequality is called the triangle inequality. Minkowski's inequality can be generalized in various ways (also called Minkowski inequalities).
11 jul 2024 · The Brunn–Minkowski inequality states that (1) | K + T | 1 / n ≥ | K | 1 / n + | T | 1 / n , with equality if and only if K and T are homothetical.
15 abr 2024 · I have a minor issue with understanding Rudin's proof of Minkowski's inequality. ... then the desired inequality obviously holds. But what about {∫X(f+g)p dμ}1q?
14 may 2024 · The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results.
15 oct 2023 · We present the generalizations of Hölder's inequality and Minkowski's inequality along with the generalizations of Aczel's, Popoviciu's, Lyapunov's and ...
5 feb 2024 · The main topic of the book is how Geometric Isoperimetric-type inequalities inter- vene with functional inequalities such as the Prekopa-Leindler inequality, ...
30 jul 2024 · At the end of this paper we present a general integral inequality contain- ing H๖lder's and Minkowski's inequalities as very special cases and supplying us with ...
14 sept 2024 · The Brunn–Minkowski inequality combines two elements: volume and Minkowski summation. There is an extensive body of research in which the Riemannian volume form ...