Enlarged integral inequalities through recent fractional generalized operators
Open Access
- 18 July 2022
- journal article
- research article
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2022 (1) , 1-12
Abstract
This paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings. Many previously documented inequalities may clearly be deduced as specific examples from our findings. Moreover, we give some comparative remarks to show the advantage and novelty of the obtained results.Keywords
Funding Information
- King Khalid University (RGP.2/15/43.)
This publication has 25 references indexed in Scilit:
- Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems*Inverse Problems, 2020
- Some inequalities via fractional conformable integral operatorsJournal of Inequalities and Applications, 2019
- Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral OperatorsMathematics, 2019
- The Minkowski inequality involving generalized k-fractional conformable integralJournal of Inequalities and Applications, 2019
- Some new inequalities of the Grüss type for conformable fractional integralsAIMS Mathematics, 2018
- On a new class of fractional operatorsAdvances in Difference Equations, 2017
- On some inequalities for s-convex functions and applicationsJournal of Inequalities and Applications, 2013
- On Minkowski and Hermite-Hadamard integral inequalities via fractional integrationAnnals of Functional Analysis, 2010
- INEQUALITIES OF HERMITE‐HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE m‐CONVEXAIP Conference Proceedings, 2010
- Sharp Integral Inequalities of the Hermite–Hadamard TypeJournal of Approximation Theory, 2002