Generalizations of Hermite--Hadamard type inequalities for MT-convex functions

By Y. Chu, M. Adil Khan, Tufail Ahmad Khan, T. Ali. 2016

100 citations recorded by the source corpus.

In this paper, we discover two novel integral identities for twice differentiable functions. Under the utility of these identities, we establish some generalized inequalities for classical integrals and Riemann-Liouville fractional integrals of the Hermite-Hadamard type via functions whose derivatives absolute values are MTconvex. At the end, we present applications for special means and several error approximations for the trapezoidal formula. c ©2016 All rights reserved.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/a95ac8888ff33fe39f9e5c8644847edb252ab7fc

Citations in the corpus

• Some new inequalities of Hermite-Hadamard type for s-convex functions with applications (2017, unknown): “[51], will be used in the next section.”