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).

Authors
Rao Y.1 , Yussouf M.2 , Farid G.3 , Pečarić J. 4 , Tlili I.5
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13662-020-02872-x
Number
421
Volume
2020
Year
2020
Organizations
  • 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
Keywords
Convex functions; Generalized fractional integrals; Hadamard inequality; Mittag-Leffler function
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64309/
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