Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Reverse Hardy inequalities via μ-proportional generalized fractional integral operators
Authors: B. Benaissa, J. Nàpoles, B. Bayraktar
Keywords: μ-proportional generalized fractional integral operators, Hardy inequality, Hölder inequality
– 0.34 Mb
Keywords: μ-proportional generalized fractional integral operators, Hardy inequality, Hölder inequality
Abstract
In this paper, we present a further improvement of the reverse Hardy type inequality via $_{a^{+}}\mathfrak{I}_{\mu}^{\Phi}$ and $_{b^{-}}\mathfrak{I} _{\mu}^{\Phi}$, the proportional generalized fractional integral operators with respect to another strictly increasing continuous function $\mu$. We obtain a new result by using two parameters of integrability $p$ and $q$, some special cases are mentioned according to the choice of the function $\Phi$.Bouharket Benaissa
University of Tiaret-Algeria
E-mail:
Juan E. N`apoles Valdes
Universidad Nacional del Nordeste and Universidad
Tecnologica Nacional, Argentina
E-mail:
Bahtiyar Bayraktar
Bursa Uludag University, Turkiye
E-mail:
University of Tiaret-Algeria
E-mail:
Juan E. N`apoles Valdes
Universidad Nacional del Nordeste and Universidad
Tecnologica Nacional, Argentina
E-mail:
Bahtiyar Bayraktar
Bursa Uludag University, Turkiye
E-mail:
DOI
https://doi.org/10.56415/basm.y2025.i1.p23Fulltext
– 0.34 Mb
Contents
- Generalized Berezin transform and Schatten class operators on weighted Bergman spaces
- Reverse Hardy inequalities via μ-proportional generalized fractional integral operators
- Some integrals for cosine families of bounded linear operators on some non-Archimedean Banach spaces
- About the Laplace transform on ${{L}^{1}}\left( \mathbb{R^+} \right)$
- Vertical Generalized Berger-type Metrics: A New Perspective on Harmonic Vector Fields
- On conharmonic curvature tensor of 6-dimensional planar Hermitian submanifolds of Cayley algebra
- Completeness of the factor group of a complete topological group and completeness of the factor ring of a complete topological ring by a compact normal subgroup and a compact ideal, respectively.
- Pure and Mixed Stationary Equilibria for Dynamic Positional Games on Graphs
- On 4-T-quasigroups with exactly 20 distinct parastrophes
