Some bilinear inequalities through a weighted Hardy operator

In this paper, we give some new generalizations of the bilinear Hardy type inequality by using weighted mean operator $S:=Sf_{v}$ and its dual $\widetilde{S}:=\widetilde{S}f_{v}$, where $f$ is a non-negative integrable function with two variables on $(0,+\infty)\times(0,+\infty)$ and $v$ is a weight function.

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Publication Details

Journal
Carpathian Mathematical Publications
Published
2025-06-22
DOI
https://doi.org/10.15330/cmp.17.1.227-234
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Some bilinear inequalities through a weighted Hardy operator

Mehmet Zeki Sarıkaya, Bouharket Benaissa
Carpathian Mathematical Publications
Advanced Harmonic Analysis Research
article

Some bilinear inequalities through a weighted Hardy operator

Mehmet Zeki Sarıkaya, Bouharket Benaissa
article en

Abstract

In this paper, we give some new generalizations of the bilinear Hardy type inequality by using weighted mean operator $S:=Sf_{v}$ and its dual $\widetilde{S}:=\widetilde{S}f_{v}$, where $f$ is a non-negative integrable function with two variables on $(0,+\infty)\times(0,+\infty)$ and $v$ is a weight function.

Carpathian Mathematical PublicationsVol. 17(1)
Université IBN Khaldoun Tiaret (DZ), Düzce Üniversitesi (TR)
Direction Générale de la Recherche Scientifique et du Développement Technologique
Reduced inequalities
Openalex Percentile: Top 79%
Advanced Harmonic Analysis Research
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