AIMS Mathematics (May 2020)

Chebyshev type inequalities involving extended generalized fractional integral operators

  • Erhan Set,
  • M. Emin Özdemir,
  • Sevdenur Demirbaş

DOI
https://doi.org/10.3934/math.2020232
Journal volume & issue
Vol. 5, no. 4
pp. 3573 – 3583

Abstract

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In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani et al. from [4] are generalized. Also, it is point out that new results are obtained for different fractional integral operators with the help of special selection of parameters.

Keywords