Results 51 to 60 of about 94,757 (312)

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

(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

New generalized Riemann-Liouville fractional integral inequalities for convex functions

open access: yesJournal of Mathematical Inequalities, 2021
. In the literature, the right-side of Hermite–Hadamard’s inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann–Liouville fractional ...
P. Mohammed
semanticscholar   +1 more source

The Fractional Integral Inequalities Involving Kober and Saigo–Maeda Operators

open access: yesCommunications in Advanced Mathematical Sciences, 2023
This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions.
Deepak Kumar Jain   +4 more
doaj   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals [PDF]

open access: yes, 2016
YILDIRIM, Huseyin/0000-0001-8855-9260WOS: 000396217100029In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.
Sarikaya, Mehmet Zeki   +1 more
core   +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

On generalized fractional integral inequalities for twice differentiable convex functions

open access: yesJournal of Computational and Applied Mathematics, 2020
In this article, some new generalized fractional integral inequalities of midpoint and trapezoid type for twice differentiable convex functions are obtained.
P. Mohammed, M. Sarıkaya
semanticscholar   +1 more source

Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions

open access: yesJournal of Mathematics, 2022
Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.
Yeliang Xiao   +2 more
doaj   +1 more source

On generalization conformable fractional integral inequalities

open access: yesFilomat, 2018
The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
openaire   +4 more sources

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