- integral inequality
- мат.интегральное неравенство
English-Russian scientific dictionary. 2008.
integral inequality
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Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… … Wikipedia
Grönwall's inequality — In mathematics, Grönwall s lemma allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a… … Wikipedia
Minkowski inequality — This page is about Minkowski s inequality for norms. See Minkowski s first inequality for convex bodies for Minkowski s inequality in convex geometry. In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed… … Wikipedia
Prékopa-Leindler inequality — In mathematics, the Prékopa Leindler inequality is an integral inequality closely related to the reverse Young s inequality, the Brunn Minkowski inequality and a number of other important and classical inequalities in analysis. The result is… … Wikipedia
Borell-Brascamp-Lieb inequality — In mathematics, the Borell Brascamp Lieb inequality is an integral inequality due to many different mathematicians but named after Christer Borell, Herm Jan Brascamp and Elliott Lieb.The result was proved for p gt; 0 by Henstock and Macbeath in… … Wikipedia
Steffensen's inequality — In mathematics, Steffensen s inequality, named after Johan Frederik Steffensen, is an integral inequality in real analysis. It states that if fnof; : [ a , b ] rarr; R is a non negative, monotonically decreasing, integrable function and g : [ a … Wikipedia
Jensen's inequality — In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… … Wikipedia
CHSH inequality — In physics, the CHSH Bell test is an application of Bell s theorem, intended to distinguish between the entanglement hypothesis of quantum mechanics and local hidden variable theories. CHSH stands for John Clauser, Michael Horne, Abner Shimony… … Wikipedia
Clausius–Duhem inequality — Continuum mechanics … Wikipedia
Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… … Wikipedia
Hardy's inequality — is an inequality in mathematics, named after G. H. Hardy. It states that if a 1, a 2, a 3, dots is a sequence of non negative real numbers which is not identically zero, then for every real number p > 1 one has:sum {n=1}^infty left (frac{a 1+a… … Wikipedia
