First, we introduce a generalized m-convexity concept defined on the real linear fractal set ℝ
α (0< α≤ 1) and discuss the relation between generalized m-convexity and m-convexity …

The objective of this paper is to present the fractional Hadamard and Fejér-Hadamard
inequalities in generalized forms. By employing a generalized fractional integral operator …

In many problems arising in engineering and science one requires approxi-tion methods to
reproduce physical reality as well as possible. Very schema-cally, if the input data …

In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended
generalized fractional integral operator involving the extended generalized Mittag-Leffler …

The main purpose of this research is to introduce the definition of a strongly m-convex
function. To achieve this goal, we generalize the well known notion of a strongly convex …

The most important inequalities of $m$-convex functions Page 1 Turkish Journal of
Mathematics Volume 41 Number 3 Article 14 1-1-2017 The most important inequalities of $m$-convex …

Sažetak General companion inequalities related to Jensen's inequality for the classes of m-
convex and (alpha, m)-convex functions are presented. We show how Jensen's inequality …

In this paper we prove the Hadamard-type inequalities for m-convex functions via Riemann-
Liouville fractional integrals and the Hadamard-type inequalities for convex functions via …

A TREATMENT OF THE HADAMARD INEQUALITY DUE TO m-CONVEXITY VIA
GENERALIZED FRACTIONAL INTEGRALS 1. Introduction Definition 1. A f Page 1 Journal …

ON HADAMARD TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL
INTEGRALS 1. Introduction The Hadamard inequality states tha Page 1 Journal of Inequalities …