An axiomatic characterization of a two-parameter extended relative entropy

TL;DR

This paper proves a uniqueness theorem for a two-parameter extended relative entropy, extending previous work on one-parameter cases, and explores its properties.

Contribution

It introduces a two-parameter extended relative entropy and establishes its uniqueness, expanding the theoretical framework beyond the one-parameter version.

Findings

Proves the uniqueness theorem for the two-parameter extended relative entropy.

Extends previous one-parameter results to a two-parameter case.

Studies properties of the two-parameter extended relative entropy.

Abstract

The uniqueness theorem for a two-parameter extended relative entropy is proven. This result extends our previous one, the uniqueness theorem for a one-parameter extended relative entropy, to a two-parameter case. In addition, the properties of a two-parameter extended relative entropy are studied.