Results 31 to 40 of about 1,676,787 (274)

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

open access: yesAdvances in Difference Equations, 2021
The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi   +5 more
doaj   +1 more source

Fractional transformations of generalised functions [PDF]

open access: yes, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson   +2 more
core   +4 more sources

On the weighted fractional integral inequalities for Chebyshev functionals

open access: yesAdvances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman   +4 more
doaj   +1 more source

On Some Integral Inequalities via Conformable Fractional Integrals [PDF]

open access: yesApplied Mathematics and Nonlinear Sciences, 2020
Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak   +6 more
openaire   +4 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

On Discrete Fractional Integral Inequalities for a Class of Functions

open access: yesComplexity, 2020
Discrete fractional calculus ℱ C is proposed to depict neural systems with memory impacts.
Saima Rashid   +3 more
openaire   +3 more sources

(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities

open access: yesFractal and Fractional, 2021
The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi   +6 more
doaj   +1 more source

New Inequalities for Local Fractional Integrals

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hüseyin   +2 more
openaire   +2 more sources

Inequalities for generalized Riemann–Liouville fractional integrals of generalized strongly convex functions

open access: yesAdvances in Difference Equations, 2021
Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid   +4 more
doaj   +1 more source

On a Geometric Inequality Related to Fractional Integration [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2017
In this paper we consider a new kind of inequality related to fractional integration, motivated by Gressman's paper. Based on it we investigate its multilinear analogue inequalities. Combining with the Gressman's work on multilinear integral, we establish this new kind of geometric inequalities with bilinear form and multilinear form in more general ...
openaire   +3 more sources

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