Chebyshev type inequalities involving generalized Katugampola fractional integral operators

Abstract

A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator. Relevant connections of the results presented here with those (known and new) involving relatively simpler and familiar fractional integral operators are also pointed out.