A new generalization of Young type inequality and applications

This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert-Schmidt norm and the trace norm. The importance of these results lies in their dual significance: they hold inherent value on their own, and they also extend and build upon numerous established results within the existing literature.

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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant

Rashid

Bani-Ahmad

2023

Special Matrices

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Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants. Simultaneously, according to the scalar result, we have obtained some corresponding operator inequalities and matrix versions, including Hilbert-Schmidt norm, unitary invariant norm, and trace norm can be regarded as Scalar inequality.

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A new generalization of Young type inequality and applications

Abstract: In this paper, we give refinements of the classical Young inequality for scalars and we use these refinements to establish refined some Young type inequalities for the trace, determinants, and norms of positive definite matrices.

Cited by 3 publications

References 4 publications

Refinements of some inequalities involving Berezin norms and Berezin number and related questions

Refinements of some inequalities involving Berezin norms and Berezin number and related questions

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant

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