Results 201 to 210 of about 3,738,852 (246)
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2021
A quantitative stability result with an optimal exponent is established, concerning near-maximizers for Young’s convolution inequality for Euclidean groups.
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A quantitative stability result with an optimal exponent is established, concerning near-maximizers for Young’s convolution inequality for Euclidean groups.
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A Multilinear Young's Inequality
Canadian Mathematical Bulletin, 1988AbstractWe prove an (n + l)-linear inequality which generalizes the classical bilinear inequality of Young concerning the LP norm of the convolution of two functions.
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International Journal of Mathematical Education in Science and Technology, 2004
In this paper, an error in a well-known work which claims to prove Young's inequality is discovered and a concise proof of Young's inequality is given.
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In this paper, an error in a well-known work which claims to prove Young's inequality is discovered and a concise proof of Young's inequality is given.
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Young’s Inequality for the Twisted Convolution
Journal of Fourier Analysis and Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted Young Inequalities for Convolutions
Southeast Asian Bulletin of Mathematics, 2003Let \(1 < p, q < \infty\) and let \(u\) and \(v\) be weighted functions on \(\mathbb R^n\). The aim of the paper is to find sufficient conditions for the validity of the inequality \[ \Bigl(\int_{\mathbb R^n} (g \times f)^q (x)\, u (x) \, dx\Bigr)^{1/q} \leq C \| g\| _X \Bigl(\int_{\mathbb R^n} f (x)^p \, v (x) \, dx\Bigr)^{1/p} \] for all measurable ...
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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 $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
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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 $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
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New refinements of some classical inequalities via Young’s inequality
Advances in Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Amine Ighachane +2 more
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Interpolated Young and Heinz inequalities
Linear and Multilinear Algebra, 2015In this article, we interpolate the well-known Young’s inequality for numbers and matrices, when equipped with the Hilbert–Schmidt norm, then present the corresponding interpolations of recent refinements in the literature. As an application of these interpolated versions, we study the monotonicity these interpolations obey.
M. Sababheh, A. Yousef, R. Khalil
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2006
Operator and matrix versions of classical inequalities are of considerable interest in mathematics. A fundamental inequality among positive real numbers is the arithmetic-geometric mean inequality whose generalization is the most important case of the Young inequalities.
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Operator and matrix versions of classical inequalities are of considerable interest in mathematics. A fundamental inequality among positive real numbers is the arithmetic-geometric mean inequality whose generalization is the most important case of the Young inequalities.
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Maximal Integral Inequalities and Hausdorff–Young
Journal of Fourier Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Calixto P. Calderón, Alberto Torchinsky
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