Multiple-Term Refinements of Alzer–fonseca–kovačec Inequalities

Ighachane, Mohamed Amine

doi:10.1216/rmj.2022.52.2053

Rocky Mountain J. Math.

2022

DOI: 10.1216/rmj.2022.52.2053

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Multiple-Term Refinements of Alzer–fonseca–kovačec Inequalities

Mohamed Amine Ighachane¹

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2024

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Cited by 3 publications

References 25 publications

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Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications

Taki,

Ighachane,

Huy

et al. 2023

Adv. Oper. Theory

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Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications

Taki,

Ighachane,

Huy

et al. 2023

Adv. Oper. Theory

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An improvement of Alzer-Fonseca-Kovacec’s type inequalities with applications

Ighachane,

Taki,

Bouchangour

2023

Filomat

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In this paper, we start by presenting multiple-term refinement of Young?s and Young?s type inequalities and its reverse using different weights, which extends and unifies two recent and important results due to M. Khosravi (Math. Slovaca 68 (2018), 803-810) and L. Nasiri et al. (Asian-European Journal Math. 15, (2022) No. 07). Further, we mainly present some new real power inequalities of Young?s inequality, extending a key results of Alzer et al. (Linear Multilinear Algebra 63(3) (2015), 622-635), D. Q. Huy et al. (Linear Algebra Appl. 656 (2023), 368-384) and J. Zhao (Bull. Malys. Math. Sci. Soc. 46, No 52 (2023)). As applications of these results, we provide some inequalities for matrices, unitarily invariant norms and traces.

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Some new Young type inequalities

Ren

2024

MATH

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Multiple-Term Refinements of Alzer–fonseca–kovačec Inequalities

Cited by 3 publications

References 25 publications

Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications

Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications

An improvement of Alzer-Fonseca-Kovacec’s type inequalities with applications

Some new Young type inequalities

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