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Modification of certain fractional integral inequalities for convex functions
Journal article   Open access  Peer reviewed

Modification of certain fractional integral inequalities for convex functions

Pshtiwan Othman Mohammed and Thabet Abdeljawad
Advances in difference equations, Vol.2020(1), pp.1-22
11/02/2020
DOI: https://doi.org/10.1186/s13662-020-2541-2

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out.
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https://doi.org/10.1186/s13662-020-2541-2View
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