Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates

The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well known fractional Hadamard and Fejér–Hadamard inequalities. Also we study the error bounds of these generalized Hadamard and Fejér–Hadamard inequalities. We also obtain some published results from presented inequalities. © 2020, The Author(s).

Авторы
Rao Y.1 , Yussouf M.2 , Farid G.3 , Pečarić J. 4 , Tlili I.5
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
421
Том
2020
Год
2020
Организации
  • 1 Institute of Computing Science and Technology, Guangzhou University, Guangzhou, China
  • 2 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 3 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan
  • 4 Rudn University, Moscow, Russian Federation
  • 5 Department of Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
Ключевые слова
Convex functions; Generalized fractional integrals; Hadamard inequality; Mittag-Leffler function
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64309/
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