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Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates.

Authors :
Rao, Yongsheng
Yussouf, Muhammad
Farid, Ghulam
Pečarić, Josip
Tlili, Iskander
Source :
Advances in Difference Equations. 8/14/2020, Vol. 2020 Issue 1, p1-14. 14p.
Publication Year :
2020

Abstract

The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well known fractional Hadamard and Fejér–Hadamard inequalities. Also we study the error bounds of these generalized Hadamard and Fejér–Hadamard inequalities. We also obtain some published results from presented inequalities. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2020
Issue :
1
Database :
Academic Search Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
145653461
Full Text :
https://doi.org/10.1186/s13662-020-02872-x