Research article

Some new Chebyshev type inequalities utilizing generalized fractional integral operators

  • Received: 03 October 2019 Accepted: 28 November 2019 Published: 14 January 2020
  • MSC : 26D15, 26A33, 26D10

  • Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also present the special cases of related inequalities for this type of fractional integral is obtained.

    Citation: Fuat Usta, Hüseyin Budak, Mehmet Zeki Sarıkaya. Some new Chebyshev type inequalities utilizing generalized fractional integral operators[J]. AIMS Mathematics, 2020, 5(2): 1147-1161. doi: 10.3934/math.2020079

    Related Papers:

  • Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also present the special cases of related inequalities for this type of fractional integral is obtained.


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