Some Levin-Steckin's Type Inequalities for Operator Convex Functions on Hilbert Spaces

TL;DR

This paper develops operator versions of Levin-Steckin integral inequalities, extending classical inequalities to the setting of operator convex functions on Hilbert spaces.

Contribution

It introduces new operator inequalities based on Levin-Steckin integral inequalities for operator convex functions on Hilbert spaces.

Findings

Derived operator inequalities extending classical Levin-Steckin inequalities.

Established bounds for operator convex functions in Hilbert space context.

Provided theoretical framework for future research in operator inequalities.

Abstract

In this paper we obtain some operator versions of Levin-Steckin integral inequality.