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.

Authors
Farid G.1 , Chu Y.-M.2, 3 , Andrić M.4 , Jung C.Y.5 , Pečarić J. 6 , Kang S.M.7
Journal
Mathematical Problems in Engineering
Publisher
Hindawi Limited
Language
English
Status
Published
Link
External link
DOI
10.1155/2020/8878342
Number
8878342
Volume
2020
Year
2020
Organizations
  • 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
Keywords
Functions; Mathematical operators; Convex functions; Fractional integrals; Integral inequalities; Integral operators; M-convex functions; Mittag-Leffler functions; Integral equations
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72480/
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