Refinements of Some Integral Inequalities for s,m -Convex Functions

In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from s,m-convex functions. These inequalities not only provide refinements of bounds for unified integral operators but also for various associated fractional integral operators containing Mittag-Leffler function. At the same time, presented results give generalizations of many known fractional integral inequalities. © 2020 Ghulam Farid et al.

Авторы
Farid G. 1 , Chu Y.-M. 2, 3 , Andrić M. 4 , Jung C.Y. 5 , Pečarić J. 6 , Kang S.M. 7
Журнал
Mathematical Problems in Engineering
Издательство
Hindawi Limited
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1155/2020/8878342
Номер
8878342
Том
2020
Год
2020
Организации
  • 1 Department of Mathematics, Comsats University Islamabad, Attock Campus, Pakistan
  • 2 Department of Mathematics, Huzhou University, Huzhou, 313000, China
  • 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, China
  • 4 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice Hrvatske 15, Split, 21000, Croatia
  • 5 Department of Business Administration, Gyeongsang National University, Jinju, 52828, South Korea
  • 6 Rudn University, Moscow, Russian Federation
  • 7 Center for General Education, China Medical University, Taichung, 40402, Taiwan
Ключевые слова
Functions; Mathematical operators; Convex functions; Fractional integrals; Integral inequalities; Integral operators; M-convex functions; Mittag-Leffler functions; Integral equations
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