Approximations to Gibbs/Shannon Entropy: Entropic Polynomials

EasyChair Preprint 1473, version 1

Abstract

In this research paper, it is proved that linear/quadratic approximations to Shannon  /Gibbs  entropy lead to Tsallis entropy, Sq(p) for q = 2/q = 3. Based on higher degree approximations of logarithm, entropic polynomials are derived.

Keyphrases: Entropic Polynomials, Gibbs entropy, Shannon entropy, Tsallis entropy, approximation

@booklet{EasyChair:1473,
  author    = {Rama Murthy Garimella and Ravi Kishore},
  title     = {Approximations  to Gibbs/Shannon  Entropy:  Entropic  Polynomials},
  howpublished = {EasyChair Preprint 1473},
  year      = {EasyChair, 2019}}