New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality

Joint Authors

Chu, Yu-Ming
Adil Khan, Muhammad
Husain, Zakir

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-11-06

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Philosophy

Abstract EN

Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science.

In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality.

The purpose of this article is to propose new bounds for Csiszár and related divergences by means of Jensen–Mercer’s inequality.

Also, we investigate several new bounds for Zipf–Mandelbrot entropy.

The idea of this article may further stimulate research on information theory with the help of Jensen–Mercer’s inequality.

American Psychological Association (APA)

Adil Khan, Muhammad& Husain, Zakir& Chu, Yu-Ming. 2020. New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145276

Modern Language Association (MLA)

Adil Khan, Muhammad…[et al.]. New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1145276

American Medical Association (AMA)

Adil Khan, Muhammad& Husain, Zakir& Chu, Yu-Ming. New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145276

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1145276