In mathematical analysis, the Minkowski inequality establishes that the L spaces are normed vector spaces. Let S {\displaystyle S} {\displaystyle S} ... Proof · Minkowski's integral inequality · Reverse inequality

16 янв. 2024 г. · Minkowski's inequality is called the triangle inequality. Minkowski's inequality can be generalized in various ways (also called Minkowski inequalities).

If p>1, then Minkowski's integral inequality states that Similarly, if p>1 and a_k, b_k>0, then Minkowski's sum inequality states that ...

12 июл. 2017 г. · I am interested in proving the following claims: Suppose that (X, M, μ) and (Y, N, ν) are σ-finite measure spaces, and let f be an (M⊗N)-measurable function ... A detailed proof of Minkowski's inequality for integrals When does equality hold in the Minkowski's inequality ‖f+g‖p Другие результаты с сайта math.stackexchange.com

27 мая 2023 г. · p=2 is an easily proved special case: The result follows from Order is Preserved on Positive Reals by Squaring.

In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes of compact subsets of Euclidean space.

22 мар. 2013 г. · Finally, observe that 1−1q=1p 1 - 1 q = 1 p , and the result follows as required. The proof for the integral version is analogous.

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Опубликовано: 23 июл. 2018 г.

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.