Results 31 to 40 of about 74,030 (274)

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

open access: yesDemonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

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

Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators

open access: yesFractal and Fractional, 2022
This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for ...
Mustafa Gürbüz   +2 more
doaj   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

open access: yesAIMS Mathematics
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq   +5 more
doaj   +1 more source

New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals

open access: yesAIMS Mathematics, 2020
Recently, several papers related to integral inequalities involving various fractional integral operators have been presented. In this work, motivated essentially by the previous works, we prove some new Polya-Szegö inequalities via conformable ...
Erhan Deniz   +2 more
doaj   +1 more source

Some variants on Mercer's Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

open access: yesAIMS Mathematics, 2023
Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study.
Jamshed Nasir   +3 more
doaj   +1 more source

An extension problem related to the fractional Branson-Gover operators

open access: yes, 2019
The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of conformally invariant integral operators called fractional Branson-Gover ...
Frahm, Jan, Zhang, Genkai, Ørsted, Bent
core   +1 more source

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

open access: yes, 2018
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih   +4 more
core   +1 more source

On Weyl fractional integral operators

open access: yesTamkang Journal of Mathematics, 2004
In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $.
Jain, Rashmi, Pathan, M. A.
openaire   +3 more sources

Grüss Type k-Fractional Integral Operator Inequalities and Allied Results

open access: yesInternational Journal of Analysis and Applications, 2023
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid   +5 more
doaj   +1 more source

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