Certain Generalized Fractional Integral Inequalities

Abstract

By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functionalare formulated for two synchronous functions in this article. Further generalisations of these inequalities,including three monotonous functions, are also mentioned. In addition, as special cases of our key results,inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results areof a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, Riemann-Liouville and Erdélyi-Kober fractional integral operators referred to the literature.