Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

Some properties of strongly convex functions are presented. A characterization of pairs of
functions that can be separated by a strongly convex function and a Hyers–Ulam stability …

Simple proof and refinement of Hermite-Hadamard inequality Page 1 Journal of Mathematical
Inequalities Volume 4, Number 3 (2010), 365–369 SIMPLE PROOF AND REFINEMENT OF …

In this paper we recover a generalization of the classical Bernstein operators introduced by
Morigi and Neamtu in 2000. Specifically, we focus on a sequence of operators that …

In this paper, we obtain some new Hermite-Hadamard type inequalities for products of
convex functions via Riemann-Liouville integrals. We conclude that Our methods considered …

The main aim of this paper is to give extension and refinement of the Hermite-Hadamard
inequality for convex functions via Riemann-Liouville fractional integrals. We show how to …

In this present study, firstly we give some necessary definitions and some results related to
Riemann-Liouville fractional and conformable fractional integrals. Secondly, using the given …

Many results on strongly convex functions and related classes of functions obtained in the
last few years are collected in the paper. In particular, Jensen, Hermite–Hadamard-and …

We study the existence and shape preserving properties of a generalized Bernstein operator
B n fixing a strictly positive function f 0, and a second function f 1 such that f 1/f 0 is strictly …

The present paper deals with a new modification of Baskakov operators in which the
functions exp (μ t) and exp (2 μ t), μ> 0 are preserved. Approximation properties of the …