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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

Jiangfeng Han, Pshtiwan Othman Mohammed, Huidan Zeng

2020Open Mathematics97 citationsDOIOpen Access PDF

Abstract

Abstract The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature.

Topics & Concepts

MathematicsHermite polynomialsHadamard transformConvex functionType (biology)Pure mathematicsRegular polygonMathematical analysisAlgebra over a fieldGeometryEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsNumerical methods in engineering
Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function | Litcius