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

By Feng Qi (祁锋), Pshtiwan Othman Mohammed, Jen-Chih Yao, Yonghong Yao. Open Mathematics, 2020

103 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/05492e67383ee10438986e671b2922b6d4e6f033

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Mechanics of Materials

Citations in the corpus

Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel (2020, background): “Many further results have been derived from inequality (17); for details, see [16, 25, 34, 38, 47].”
Modification of certain fractional integral inequalities for convex functions (2020, background): “For more recent results obtained in view of inequality (2), we refer the reader to [2, 4, 6, 13, 16, 18].”