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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 · For p=2 Minkowski's inequality is called the triangle inequality. Minkowski's inequality can be generalized in various ways (also called Minkowski inequalities) ...
11 jul 2024 · Therefore we may assume that all the integrals are finite, and the proof is now carried out exactly as in 2.5. Notice that Hölder's and Minkowski's inequalities ...
22 oct 2024 · PDF | A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form.
11 mar 2024 · The debate on militant democracy is very much focused on whether legal restrictions against antidemocratic parties are justified. By contrast, this paper moves ...
15 abr 2024 · Explanation for a small step in the proof of Minkowski's inequality, Theorem 3.5, Rudin's RCA ... Equality in Minkowski's inequality proof(no integrals) · 1.
25 oct 2024 · Like when proving Minkowski's inequality for p = 1 , it is directly applied to transform the inequality into a more manageable form by comparing side by side ...
15 sept 2024 · Minkowski's Inequality. ⓘ. Keywords: Minkowski's, Minkowski's inequalities for sums and series, inequalities, sums and integrals; See also: Annotations for ...
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 ...