On Jensen’s type inequalities via generalized majorization inequalities

In this paper, we give generalizations of Jensen’s, Jensen-Steffensen’s and converse of Jensen’s inequalities by using generalized majorization inequalities. We also present Grüss and Ostrowski-type inequalities for the generalized inequalities. © 2018, University of Nis. All rights reserved.

Авторы
Khan J.1 , Khan M.A.1 , Pečarić J. 2, 3
Журнал
Filomat
Издательство
University of Nis
Номер выпуска
16
Язык
Английский
Страницы
5719-5733
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.2298/FIL1816719K
Том
32
Год
2018
Организации
  • 1 Department of Mathematics, University of Peshawar, Peshawar, Pakistan
  • 2 Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 30, Zagreb, 10000, Croatia
  • 3 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Ключевые слова
Green’s function; Grüss-type inequality; Jensen-Steffensen’s inequality; Jensen’s inequality; Majorization; Montgomery identity; N-convexity; Ostrowski-type inequality; Čebyšev functional
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