# Article ID: MTJPAM-D-20-00014

## Title: A New Refinement of Young’s Type Inequalities and Applications

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00014; Volume 3 / Issue 2 / Year 2021, Pages 51-59

Document Type: Research Paper

Author(s): Mohamed Amine Ighachane a , Mohamed Akkouchi b

aDepartment of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc)

bDepartment of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc)

Received: 19 May 2020, Accepted: 11 May 2021, Published: 23 May 2021.

Corresponding Author: Mohamed Amine Ighachane (Email address: mohamedamineighachane@gmail.com)

Full Text: PDF

Abstract

In this paper, we present multiple-term refinements of Young’s type inequalities which extends and unifies two recent and important results due to L. Nasiri et al. (Int. J. Nonlinear Anal. Appl. 8, 261–267, 2017) and C. Yang et al. (Journal. Math. Inequalities 14, 401–419, 2020). As applications, we give some related inequalities for operators and matrices.

Keywords: Young’s type inequality, Operator inequality, Traces, Unitarily invariant norms

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