Shannon type inequalities via time scales theory

Author:

Ansari Iqrar,Khan Khuram Ali,Nosheen Ammara,Pečarić Ðilda,Pečarić Josip

Abstract

AbstractThe 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference18 articles.

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3. Anwar, M., Bibi, R., Bohner, M., Pečarić, J.: Integral inequalities on time scales via the theory of isotonic linear functionals. Abstr. Appl. Anal. 2011, Article ID 483595 (2011)

4. Bohner, M., Guseinov, G.S.: Multiple integration on time scales. Dyn. Syst. Appl. 14, 579–606 (2005)

5. Bohner, M., Guseinov, G.S.: Multiple Lebesgue integration on time scales. Adv. Differ. Equ. 2006, 026391 (2006)

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