Some New Chebyshev and Gr ¨uss-type Integral Inequalities for Saigo Fractional Integral Operators and Their q-analogues

Abstract

By making use of Saigo fractional integral operators, we establish some new results of the fractional Chebyshev and Gr\"{u}ss-type integral inequalities. Furthermore, the $q$-extensions of the main results are also presented. Our results in special cases yield some of the recent results on Chebyshev and Gr\"{u}ss-type integral inequalities.