Results 311 to 320 of about 171,468 (355)

New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators

, 2021
Inequalities, including fractional integrals, have become a very popular method and have been the main motivation point for many studies in recent years.
E. Set, S. Butt, A. Akdemi̇r, Ali Karaoglan, T. Abdeljawad   +4 more
semanticscholar   +1 more source

Erdélyi–Kober fractional integral operators on ball Banach function spaces

, 2021
We establish the boundedness of the Erdélyi-Kober fractional integral operators on ball Banach function spaces. In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces.
K. Ho
semanticscholar   +1 more source

Compactness Criteria for Fractional Integral Operators

Fractional Calculus and Applied Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kokilashvili, Vakhtang, Mastyło, Mieczysław, Meskhi, Alexander   +2 more
openaire   +1 more source

On unified fractional integral operators

Proceedings of the Indian Academy of Sciences - Section A, 1996
The present work of the author relates to the generalized fractional integral operators [the authors, Proc. Indian Acad. Sci., Math. Sci. 104, No. 2, 339-349 (1994; Zbl 0801.33014)] of Riemann-Liouville and Weyl types which have in their kernel certain polynomial system of \textit{H. M. Srivastava} [Indian J. Math.
Gupta, K. C., Soni, R. C.
openaire   +1 more source

Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel

Mathematical methods in the applied sciences, 2020
In this paper, we firstly construct two local fractional integral operators with Mittag‐Leffler kernel on Yang's fractal sets. Then, two local fractional integral identities with the first‐ and second‐order derivatives are derived.
Wenbing Sun
semanticscholar   +1 more source

Commutators with fractional integral operators

Studia Mathematica, 2016
Let \(\alpha\in(0,n)\). For a Schwartz function \(f\) on \(\mathbb{R}^n\), the fractional integral of \(f\) is defined, for any \(x\in\mathbb{R}^n\), by \[ I_\alpha(f)(x):=\int_{\mathbb{R}^n}\frac{f(y)}{|x-y|^{n-\alpha}}\,dy. \] Let \(p,\,q\in(1,\infty)\) and \(p':=p/(p-1)\). Then a function \(w\) on \(\mathbb{R}^n\) is said to belong to the \(A_{p,q}(\
Holmes, Irina, Rahm, Robert, Spencer, Scott   +2 more
openaire   +1 more source

Generalized fractional integral operators on Orlicz–Hardy spaces

Mathematische Nachrichten, 2020
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space HΦ(Rn) to another Orlicz–Hardy space HΨ(Rn) , where Φ and Ψ are generalized Young functions.
Ryutaro Arai, E. Nakai, Y. Sawano
semanticscholar   +1 more source

Weighted Inequalities for the Fractional Maximal Operator and the Fractional Integral Operator

Zeitschrift für Analysis und ihre Anwendungen, 1996
A sufficient condition is given on weight functions u and v on \mathbb R^n for ...
openaire   +1 more source

Boundedness of commutators of fractional integral operators on mixed Morrey spaces

Integral transforms and special functions, 2019
In this paper, we give the necessary and sufficient conditions for the boundedness of commutators of fractional integral operators on mixed Morrey spaces. We construct the predual spaces of mixed Morrey spaces.
T. Nogayama
semanticscholar   +1 more source

On Certain Integral Operators of Fractional Type

Acta Mathematica Hungarica, 1999
The authors study integral operators with special fractional kernel. The boundedness of fractional integral operators is proved. To the proof the generalized Minkowski inequality and the Marcinkiewicz interpolation theorem are used.
Godoy, T., Urciuolo, M.
openaire   +1 more source