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FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR TWICE DIFFERENTIABLE GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
Journal article

FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR TWICE DIFFERENTIABLE GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS

Sajid Iqbal, Muhammad Aamir, Muhammad Samraiz, Artion Kashuri and Muhammad Asif
Journal of mathematical analysis, Vol.11(5), pp.13-31
01/01/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The main objective of this paper is to study the classical Hermite-Hadamard-type inequalities for Riemann-liouville fractional integrals. The Hermite-Hadamard inequalities are derived for k-Riemann-Liouville fractional integrals by using the definitions of different types of convex functions such as s-convex function, m-convex function, (s,m)-convex function and twice differentiable geometric-arithmetically s-convex function. Our results generalize the results of [8] and [18].

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