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Shannon type inequalities via time scales theory.

Authors :
Ansari, Iqrar
Khan, Khuram Ali
Nosheen, Ammara
Pečarić, Ðilda
Pečarić, Josip
Source :
Advances in Difference Equations; 3/20/2020, Vol. 2020 Issue 1, p1-14, 14p
Publication Year :
2020

Abstract

The aim of present paper is to obtain Shannon type inequalities using the extended version of Jensen's inequality in time scales settings. The concept of differential entropy of a continuous random variable on time scales is introduced, and its bounds for some particular distributions are also estimated. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2020
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
142354026
Full Text :
https://doi.org/10.1186/s13662-020-02587-z