New refinement of the Jensen inequality associated to certain functions with applications

This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. © 2020, The Author(s).

Авторы
Adil Khan M. , Pečarić Ð.2 , Pečarić J. 3
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
76
Том
2020
Год
2020
Организации
  • 1 Department of Mathematics, University of Peshawar, Peshawar, Pakistan
  • 2 Catholic University of Croatia, Zagreb, Croatia
  • 3 RUDN University, Moscow, Russian Federation
Ключевые слова
Convex functions; Csiszár divergence; Hölder inequality; Jensen’s inequality; Means; Shannon entropy
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/65424/
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