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

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

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–...

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Bibliographic Details
Main Authors: Yongsheng Rao, Muhammad Yussouf, Ghulam Farid, Josip Pečarić, Iskander Tlili
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Convex functions
Hadamard inequality
Generalized fractional integrals
Mittag-Leffler function
Online Access:http://link.springer.com/article/10.1186/s13662-020-02872-x
Description
Summary: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.
ISSN:1687-1847

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