In Hilbert space, we develop a novel framework to study for two new classes of convex
function depending on arbitrary non-negative function, which is called a predominating ℏ …

This paper is devoted to a systematic study and characterizations of the fundamental notions
of variational and strong variational convexity for lower semicontinuous functions. While …

We study the notions of strongly convex function as well as F‐strongly convex function. We
present here some new integral inequalities of Jensen's type for these classes of functions …

‎ We introduce the notion of strongly $ h $-convex functions (defined on‎‎ a normed space) and
present some properties and representations of‎‎ such functions‎.‎ We obtain a characterization …

The main objective of this article is to introduce the notion of strongly generalized convex
functions which is called as strongly η-convex functions. Some related integral inequalities …

In this paper, we define and introduce some new concepts of the relative strongly preinvex
functions and relative strongly monotone operators with respect to the auxiliary nonnegative …

The objective of this paper is to derive Hermite-Hadamard type inequalities for several
higher order strongly h-preinvex functions via Riemann-Liouville fractional integrals. These …

In this paper, we define and introduce some new concepts of the strongly exponentially
convex functions with respect to an auxiliary non-negative bifunction. We establish various …

In this paper we show that the result obtained by Nikodem and Páles in [3] can by extended
to a more general case. In particular, for a non-negative function F defined on a real vector …

The aim of this paper is to study the fractional Hadamard inequalities for Caputo fractional
derivatives of strongly convex functions. We obtain refinements of two known fractional …