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AIMS Mathematics

2020, Volume 5, Issue 6: 7332-7349. doi: 10.3934/math.2020469
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Research article

Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions

  • 1.
    Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
  • 2.
    Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia
  • 3.
    Department of Mathematics, Air University Islamabad, Pakistan
  • 4.
    Rudn University, Moscow, Russia
  • 5.
    Department of Business Administration, Gyeongsang National University Jinju 52828, Korea
  • Received: 21 June 2020 Accepted: 25 August 2020 Published: 18 September 2020

  • MSC : 26D10, 31A10, 26A33

  • 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.

    Citation: Ghulam Farid, Maja Andrić, Maryam Saddiqa, Josip Pečarić, Chahn Yong Jung. Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions[J]. AIMS Mathematics, 2020, 5(6): 7332-7349. doi: 10.3934/math.2020469

    Related Papers:

  • 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.


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