Extension of Euler Lagrange identity by superquadratic power functions

TL;DR

This paper extends classical inequalities like Euler Lagrange, Bohr's inequality, and the triangle inequality using the concepts of convexity and superquadratic functions, broadening their applicability.

Contribution

It introduces new generalized forms of fundamental inequalities based on superquadratic power functions, enhancing existing mathematical tools.

Findings

Extended Euler Lagrange identity using superquadratic functions

Generalized Bohr's inequality with superquadratic approach

Enhanced triangle inequality through convexity and superquadracity

Abstract

Using convexity and superquadracity we extend in this paper Euler Lagrange identity, Bohr's inequalitiy and the triangle inequality.