Some New Saigo Type Fractional Integral Inequalities and Their q-Analogues

Abstract

The main objective of this paper is to establish some, presumably, new Saigo type fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Erdélyi-Kober type fractional integral operators, respectively. We also investigate and present $q$-extensions of the above results and some other presumably new ones. Relevant connections of the results presented here with those earlier ones are also indicated.