Results 361 to 370 of about 3,820,981 (388)
Some of the next articles are maybe not open access.

Matrix Young Inequalities

1995
Let p, q > 0 satisfy 1/p + 1/q = 1. We prove that for any pair A, B of n × n complex matrices there is a unitary matrix U, depending on A, B, such that $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
openaire   +1 more source

An Operation Connected to a Young‐Type Inequality

Mathematische Nachrichten, 1992
AbstractGiven two φ‐functions F and G we consider the largest φ‐function H = F ⊕ G such that the Young‐type inequality H(xy) ⩽ F(x) + G(y) holds for all x, y > 0. We prove an equivalence theorem for F ⊕ G with the best constants and, for the special case when F and G are log‐convex and satisfy a certain growth condition, a representation formula for
openaire   +2 more sources

Presentation of Young's inequality [PDF]

open access: possibleJournal of inequalities and special functions, 2015
The paper presents different forms of Young's inequality. Main results include generalizations of the discrete and integral form. Issues on inequalities are studied using the geometric-arithmetic mean inequality, integral method and Jensen's inequality. A functional approach to Young's inequality is also considered.
openaire   +1 more source

A Generalization of Young’s Inequality

1987
A function φ: [0, ∞) → [0, ∞) is said to be a Young function if (i) φ is increasing and right continuous on [0, ∞) (ii) $$\mathop {\lim }\limits_{x \to \infty } {\mkern 1mu} \phi ({\text{x}}){\text{ = }}\infty .$$
openaire   +1 more source

Young’s Inequality

1993
D. S. Mitrinović   +2 more
openaire   +1 more source

Home - About - Disclaimer - Privacy