About the sharpness of the Jensen inequality

The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf–Mandelbrot law are presented. © 2018, The Author(s).

Авторы
Pečarić Ð.1 , Pečarić J. 2, 3 , Rodić M.2
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
337
Том
2018
Год
2018
Организации
  • 1 Catholic University of Croatia, Zagreb, Croatia
  • 2 Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
  • 3 RUDN University, Moscow, Russian Federation
Ключевые слова
Entropy; f-divergence; Green function; Jensen’s inequality; Zipf–Mandelbrot law
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36480/