A Note on an Upper-Bound for the Sum of a Class K and an Extended Class K Function

TL;DR

This paper derives a novel upper-bound for the sum of a class K and an extended class K function, providing new theoretical insights in the field.

Contribution

It introduces a previously unestablished upper-bound relation for the sum of class K and extended class K functions.

Findings

Derived an upper-bound for the sum of class K and extended class K functions.

Established that these relations are novel and not previously documented.

Provides theoretical foundation for future research in comparison functions.

Abstract

In this short note, we derive an upper-bound for the sum of two comparison functions, namely for the sum of a class K and an extended class K function. To the best of our knowledge, the relations derived in this note have not been previously derived in the literature.