Research article

Fractional generalized Hadamard and Fejér-Hadamard inequalities for m-convex functions

  • Received: 12 June 2020 Accepted: 27 July 2020 Published: 07 August 2020
  • MSC : 26A51, 26A33, 33E12

  • The objective of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involving a monotone increasing function, we generalize the well known fractional Hadamard and Fejér-Hadamard inequalities for m-convex functions. Also we study the error bounds of these generalized inequalities. In connection with some published results from presented inequalities are obtained.

    Citation: Xiuzhi Yang, G. Farid, Waqas Nazeer, Muhammad Yussouf, Yu-Ming Chu, Chunfa Dong. Fractional generalized Hadamard and Fejér-Hadamard inequalities for m-convex functions[J]. AIMS Mathematics, 2020, 5(6): 6325-6340. doi: 10.3934/math.2020407

    Related Papers:

  • The objective of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involving a monotone increasing function, we generalize the well known fractional Hadamard and Fejér-Hadamard inequalities for m-convex functions. Also we study the error bounds of these generalized inequalities. In connection with some published results from presented inequalities are obtained.


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