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Research Article | Open Access

Some new Young type inequalities

School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
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Abstract

In this paper, we gave some generalized Young type inequalities due to Zuo and Li [J. Math. Inequal., 16 (2022), 1169-1178], and we also presented a new Young type inequality. As applications, we obtained some operator inequalities and matrix versions inequalities including the Hilbert-Schmidt norm and trace.

Keywords

Young's inequalityKantorovich constantoperator inequalitiesHilbert-Schmidt normtrace
CLC number: 15A45, 47A30

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AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 7414-7425
DOI: 10.3934/math.2024359

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Cite this article:
Ren Y. Some new Young type inequalities. AIMS Mathematics, 2024, 9(3): 7414-7425. https://doi.org/10.3934/math.2024359

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Received: 23 December 2023
Revised: 21 January 2024
Accepted: 01 February 2024
Published: 15 March 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)