Generalization of the Levinson inequality with applications to information theory

In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, the main results are applied to information theory via f-divergence, Rényi divergence, Rényi entropy, Shannon entropy, and Zipf–Mandelbrot law. © 2019, The Author(s).

Авторы
Adeel M.1 , Khan K.A.1 , Pečarić Ð.2 , Pečarić J. 3
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
212
Том
2019
Год
2019
Организации
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Catholic University of Croatia, Ilica, Zagreb, Croatia
  • 3 Rudn University, Moscow, Russian Federation
Ключевые слова
Information theory; Levinson’s inequality
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/54818/