Shannon type inequalities via time scales theory

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. © 2020, The Author(s).

Authors
Ansari I.1 , Khan K.A.1 , Nosheen A.2 , Pečarić Ð.3 , Pečarić J. 4
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13662-020-02587-z
Number
135
Volume
2020
Year
2020
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan
  • 3 Catholic University of Croatia, Zagreb, Croatia
  • 4 RUDN University, Moscow, Russian Federation
Keywords
Convex function; Shannon entropy; Time scale calculus
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64305/
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