On new approach Hadamard-type inequalities for s-geometrically convex functions

TL;DR

This paper introduces new Hadamard-type inequalities for functions with s-geometrically convex derivatives, expanding the theoretical framework and providing applications to special means of positive numbers.

Contribution

It presents novel Hadamard inequalities for s-geometrically convex functions and explores their applications to positive number means.

Findings

Derived new Hadamard-type inequalities for s-geometrically convex functions

Established applications to special means of positive numbers

Extended existing inequalities to broader convexity classes

Abstract

In this paper we achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and geometrically convex. And also we get some applications for special means for positive numbers.