Some new Chebyshev and Grüss-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 Grüss-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 Grüss-type integral inequalities.