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).

Авторы
Ansari I.1 , Khan K.A.1 , Nosheen A.2 , Pečarić Ð.3 , Pečarić J. 4
Журнал
Advances in Difference Equations
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1186/S13662-020-02587-Z
Номер
135
Том
2020
Год
2020
Организации
  • 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
Ключевые слова
Convex function; Shannon entropy; Time scale calculus
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