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