Results 51 to 60 of about 1,408 (159)

Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators

open access: yesThe Scientific World Journal, 2014
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal   +3 more
doaj   +1 more source

On generalized some integral inequalities for local fractional integrals

open access: yesApplied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Zeki Sarikaya   +2 more
openaire   +3 more sources

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

open access: yesInternational Journal of Analysis and Applications, 2019
We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid   +3 more
doaj   +2 more sources

Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

open access: yesBoundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz   +3 more
doaj   +1 more source

Certain Fractional Proportional Integral Inequalities via Convex Functions

open access: yesMathematics, 2020
The goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators.
Gauhar Rahman   +3 more
doaj   +1 more source

Some Integral Inequalities for Local Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
Sarıkaya, Mehmet Zeki   +2 more
openaire   +4 more sources

Chebyshev type inequalities for conformable fractional integrals [PDF]

open access: yesMiskolc Mathematical Notes, 2019
In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we establish new Chebyshev inequalities for the Chebyshev functional via conformable fractional integral.
Set, Erhan   +6 more
openaire   +3 more sources

On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications

open access: yesJournal of Mathematics, 2021
The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li   +4 more
doaj   +1 more source

Hilbert–Pachpatte type fractional integral inequalities

open access: yesMathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m) ${(\alpha,m)}$-convex functions

open access: yesJournal of Inequalities and Applications, 2019
In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi   +3 more
doaj   +1 more source

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