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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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Presentation of Young's inequality [PDF]
Journal 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.
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Weighted Fourier Transform Inequalities via Mixed Norm Hausdorff-Young Inequalities
Canadian Journal of Mathematics, 1994AbstractWiener-Lorentz amalgam spaces are introduced and some of their interpolation theoretic properties are discussed. We prove Hausdorff-Young theorems for these spaces unifying and extending Hunt's Hausdorff-Young theorem for Lorentz spaces and Holland's theorem for amalgam spaces. As consequences we prove weighted norm inequalities for the Fourier
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REMARKS ON THE HAUSDORFF-YOUNG INEQUALITY
2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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