CONVERSE TO THE SHERMAN INEQUALITY WITH APPLICATIONS

In this paper we proved a converse to Sherman's inequality. Using the concept of f - divergence we obtained some inequalities for the well-known entropies. We also introduced a new entropy by applying the Zipf-Mandelbrot law and derived some related inequalities.

Авторы
Barbir A.1 , Bradanovic S.I.1 , Pecaric D.2 , Pecaric J. 3
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
1405-1419
Статус
Опубликовано
Том
22
Год
2019
Организации
  • 1 Univ Split, Fac Civil Engn Architecture & Geodesy, Matice Hrvatske 15, Split 21000, Croatia
  • 2 Catholic Univ Croatia, Ilica 242, Zagreb 10000, Croatia
  • 3 RUDN Univ, Moscow, Russia
Ключевые слова
Sherman inequality; Majorization inequality; Jensen inequality; f-divergence; Zipf-Mandelbrot entropy; convex function
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55646/