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Companions of the inequalities of Fejér--Jackson and Young
Analysis Mathematica, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, H. +3 more
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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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Further refinements of Young’s type inequality for positive linear maps
RACSAM, 2021M. Ighachane, M. Akkouchi
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REMARKS ON THE HAUSDORFF-YOUNG INEQUALITY
2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of the trace by Young's inequality
2005Let \(\varphi\) be a positive linear functional on the algebra of complex matrices of order \(n\) and \(p, q\) be positive numbers such that \(1/p + 1/q = 1\). It is shown that if \(\varphi(| AB| ) \leqslant (1/p) \varphi(A^p)+(1/q) \varphi(B^q)\) holds for any positive semi-definite matrices \(A, B\), then \(\varphi\) is a positive scalar multiple of ...
Bikchentaev A., Tikhonov O.
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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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Sharpness in Young's Inequality for Convolution Products
Canadian Journal of Mathematics, 1994AbstractSuppose that Gis a locally compact group with modular function Δ and that p, q, r are three numbers in the interval (l,∞) satisfying. If cp,q(G) is the smallest constant c such thatfor all functions f, g ∈ Cc(G) (here the convolution product is with respect to left Haar measure andis the exponent which is conjugate to p) then Young's inequality
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A Class of Hilbert-Type Inequalities Obtained Via the Improved Young Inequality
, 2017M. Krnić, P. Vuković
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Presentation of Young's inequality [PDF]
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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