Some bilinear inequalities through a weighted Hardy operator

B. Benaissa; M.Z. Sarikaya

doi:10.15330/cmp.17.1.227-234

Some bilinear inequalities through a weighted Hardy operator

Authors

B. Benaissa University of Tiaret, Tiaret, Algeria https://orcid.org/0000-0002-1195-6169
M.Z. Sarikaya Düzce University, Düzce, Türkiye

https://doi.org/10.15330/cmp.17.1.227-234

Keywords:

Fubini theorem, Hölder’s inequality, weight function, weighted Hardy operator

Published online: 2025-06-22

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.