In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and
m-convex functions. The Hölder inequality is used to create this class, which has a wide …

The main aim of the present paper is to introduce geodesic (E, F)-convex sets and geodesic
(E, F)-functions on a Riemannian manifold. Furthermore, some basic properties of these …

convex sets and-convex functions, which are considered as an important class of
generalized convex sets and convex functions, have been introduced and studied by …

This paper is devoted to introduce and investigate a new exact penalty function method
which is called the l 1 exact penalty E-function method. Namely, we use the aforesaid exact …

In this paper, a new class of non-convex functions called semi strongly (E, F)-convex
functions are presented. This class represents a natural extension of semi strongly E-convex …

Under recent circulars on the notions of convexity for real sets and functions like E-convexity
and (E, F)-convexity, we expand the notions of (E, F) and semi-(E, F)-convexity to include …

Under the new concept of s-(α, m) (α,m)-convex functions, we obtain some new Hermite–
Hadamard inequalities with an s-(α, m) (α,m)-convex function. We use these inequalities to …

In this paper, new classes of (𝓅, 𝔼)− convex sets and (𝓅, 𝔼)− convex functions are
presented by combining the classes of 𝓅-convexity and 𝔼-convexity of sets and functions …

In this paper, we propose new types of non-convex functions called strongly--vex functions
and semi strongly--vex functions. We study some properties of these proposed functions. As …

As a generalization of convexity, $ E $-convexity has been defined and studied in many
publications. In this study, we recall the class of $ E $-$\mathbb {Q} $-convex sets, $ E …