A new generalized refinement of the weighted arithmetic-geometric mean inequality

Ighachane, Mohamed Amine; Akkouchi, Mohamed; Benabdi, El Hassan

doi:10.7153/mia-2020-23-82

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Holder's Inequalities and Some Preliminary Results1

Theorem 11 ([1]1

Introduction1

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2021

2024

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Cited by 8 publications

(3 citation statements)

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“…From [24], we have the following two theorems Theorem 2.2. Let n and m be two integers and let ai ∈ R + .…”

Section: Holder's Inequalities and Some Preliminary Resultsmentioning

confidence: 99%

On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities

Atale¹

2022

ARJOM

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Aims/ Objectives: Recently, it has been shown by Ighachane and Akkouchi [1] that using binomial coefficients, one can derive some new refinements of Holder’s inequalities. This inequalities then can be applied to a wide class of special functions such as the Nielsen’s beta function and some extended gamma functions. In this paper, we have derived some generalizations of previously known number theoretic functions. Furthermore, based on the results of Ighachane and Akkouchi, Holder’s inequalities for the derived generalized functions are established.

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“…From [24], we have the following two theorems Theorem 2.2. Let n and m be two integers and let ai ∈ R + .…”

Section: Holder's Inequalities and Some Preliminary Resultsmentioning

confidence: 99%

On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities

Atale¹

2022

ARJOM

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“…For further reading related to generalized refinement of Young's inequality, the reader is referred to recent papers [4], [3], [9], [10] and [11]. One goal of this paper is to show the general refinements form governing Theorem 1.3.…”

Section: Theorem 11 ([1]mentioning

confidence: 99%

A new generalization of refined young inequalities for τ-measurable operators

Amine

Akkouchi

2021

Filomat

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“…For a generalized refinement of the weighted arithmetic-geometric mean inequality see [9]. Manasrah and Kittaneh [1] gave generalized refinements of the inequalities (1.3) and (1.4).…”

Section: Introductionmentioning

confidence: 99%