AIMS Mathematics (Jan 2020)

Some new Chebyshev type inequalities utilizing generalized fractional integral operators

  • Fuat Usta,
  • Hüseyin Budak,
  • Mehmet Zeki Sarıkaya

DOI
https://doi.org/10.3934/math.2020079
Journal volume & issue
Vol. 5, no. 2
pp. 1147 – 1161

Abstract

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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.

Keywords