Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel

Abstract

Among recent investigations of fractional integral operators including various extensions of the Mittag-Leffler function in the kernel, very recently, a very generalized fractional integral operator containing a further extension of the Mittag-Leffler function has been introduced and investigated. In this paper, we aim to establish some new generalized Chebyshev type inequalities involving this generalized fractional integral operator. Relevant connections of the results presented here with those involving relatively simple fractional integral operators are also pointed out.