Several new cyclic Jensen type inequalities and their applications

We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula. We discuss the monotonicity of functionals for n-convex functions at a point. Applications of our work include new bounds for some important inequalities used in information theory. © 2019, The Author(s).

Авторы
Mehmood N.1 , Butt S.I.1 , Pečarić Ð.2 , Pečarić J. 3
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
240
Том
2019
Год
2019
Организации
  • 1 Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
  • 2 Catholic University of Croatia, Zagreb, Croatia
  • 3 RUDN University, Moscow, Russian Federation
Ключевые слова
Higher order convexity; Jensen’s inequality; Kullback–Leibler divergence; New Green functions; Shannon entropy; Taylor’s formula; Zipf–Mandelbrot entropy
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55427/