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On Young's inequality

Journal of Mathematical Analysis and Applications, 2019
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Horst Alzer, Man Kam Kwong
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Young’s inequalities and Hausdorff–Young inequalities on Herz spaces

Bollettino dell'Unione Matematica Italiana, 2017
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AN ESTIMATION OF YOUNG INEQUALITY

Asian-European Journal of Mathematics, 2009
In this paper we give an extension of Young inequality establishing lower and upper bound.
Jakšetić, Julije, Pečarić, Josip
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Young’s Inequality Sharpened

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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On Young's inequality

International Journal of Mathematical Education in Science and Technology, 1994
Our aim is to present a completed form of Young's inequality. We will give an elementary analytic proof of this inequality by the application of the mean value theorem for integrals known from a first course in real analysis. Moreover, to facilitate understanding, the heuristic strategy of analogy, which is a constructive source of discovery, will be ...
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On Young's inequality

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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Young’s Inequality for the Twisted Convolution

Journal of Fourier Analysis and Applications, 2023
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Weighted Young Inequalities for Convolutions

Southeast Asian Bulletin of Mathematics, 2003
Let \(1 < p, q < \infty\) 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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A note on Young’s inequality

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
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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 $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
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