Results 21 to 30 of about 93,896 (272)

Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators [PDF]

open access: yes, 2015
For each of the eight $n$-th derivative parameter changing formulas for Gauss hypergeometric functions a corresponding fractional integration formula is given.
Koornwinder, Tom H.
core   +5 more sources

New Modifications of Integral Inequalities via -Convexity Pertaining to Fractional Calculus and Their Applications

open access: yesMathematics, 2021
Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid   +3 more
doaj   +1 more source

Fractional Integral Operators

open access: yes, 2023
equipped with a positive Radon measure .
openaire   +2 more sources

Morrey spaces and fractional integral operators

open access: yesExpositiones Mathematicae, 2009
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established.
Eridani   +2 more
openaire   +2 more sources

Some results on quantum Hahn integral inequalities

open access: yesJournal of Inequalities and Applications, 2019
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit   +3 more
doaj   +1 more source

Integral representation for fractional Laplace–Beltrami operators [PDF]

open access: yesAdvances in Mathematics, 2018
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego   +2 more
openaire   +4 more sources

CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS

open access: yesBulletin of the Korean Mathematical Society, 2016
During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators.
Praveen Agarwal, Junesang Choi
openaire   +2 more sources

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

open access: yesJournal of Function Spaces, 2021
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators

open access: yesMathematics, 2019
Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman   +4 more
doaj   +1 more source

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

open access: yesJournal of Inequalities and Applications, 2022
This research investigates the boundedness of a p-adic fractional integral operator on p-adic Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations ( C M ˙ O ) $(C\dot{M}O)$ and Lipschitz estimate for commutators of the p-adic ...
Naqash Sarfraz   +3 more
doaj   +1 more source

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