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Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
Journal article   Open access  Peer reviewed

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

Yongsheng Rao, Muhammad Yussouf, Ghulam Farid, Josip Pečarić and Iskander Tlili
Advances in difference equations, Vol.2020(1), pp.1-14
14/08/2020
DOI: https://doi.org/10.1186/s13662-020-02872-x

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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.
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https://doi.org/10.1186/s13662-020-02872-xView
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