Refinement and corrigendum of bounds of fractional integral operators containing mittag-leffler functions

The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of already known bounds of different fractional integral operators for convex, m-convex, s-convex and (s, m)-convex functions. Moreover, the refinements of some known fractional versions of the Hadamard inequality are given. © 2020 the Author(s), licensee AIMS Press.

Authors
Farid G.1 , Andrić M.2 , Saddiqa M.3 , Pečarić J. 4 , Jung C.Y.5
Journal
AIMS MATHEMATICS
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Number of issue
6
Language
English
Pages
7332-7349
Status
Published
Link
External link
DOI
10.3934/math.2020469
Volume
5
Year
2020
Organizations
  • 1 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
  • 2 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, Split, 21000, Croatia
  • 3 Department of Mathematics, Air University Islamabad, Pakistan
  • 4 Rudn University, Moscow, Russian Federation
  • 5 Department of Business Administration, Gyeongsang National University, Jinju, 52828, South Korea
Keywords
Convex function; Generalized fractionl integrals; Mittag-Leffler function; Strongly convex function
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65558/
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