Hermite--Hadamard type inequality for certain Schur convex functions

TL;DR

This paper establishes a Hermite-Hadamard type inequality for specific Schur convex functions, utilizing a Korovkin-type approximation theorem as a key tool in the proof.

Contribution

It introduces a new Hermite-Hadamard inequality for Schur convex functions and applies a Korovkin-type approximation theorem in the proof.

Findings

Proved a Hermite-Hadamard type inequality for Schur convex functions.

Utilized a Korovkin-type approximation theorem in the proof.

Extended classical inequalities to a new class of functions.

Abstract

The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.