New Estimations for Shannon and Zipf–Mandelbrot Entropies

The main purpose of this paper is to find new estimations for the Shannon and Zipf–Mandelbrot entropies. We apply some refinements of the Jensen inequality to obtain different bounds for these entropies. Initially, we use a precise convex function in the refinement of the Jensen inequality...

Full description

Bibliographic Details
Main Authors: Muhammad Adil Khan, Zaid Mohammad Al-sahwi, Yu-Ming Chu
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/8/608