Inequalities associated with Čebyšev functional for Saigo fractional integration operator

Abstract

By making use of Saigo operator of fractional integration, some integral inequalities for the Čebyšev functional in the case of two synchronous functions are investigated which provide extensions in several directions of earlier results given for Riemann–Liouville operator.

Keywords:

• Fractional integral inequality
• Saigo fractional integral operator
• Čebyšev functional
• Čebyšev–Saigo functional
• Čebyšev–Riemann–Liouville functional
• Čebyšev–Erdélyi–Kober functional
• synchronous (asynchronous) function

AMS Subject Classification (2010) :

• 26A33
• 26D10
• 26D15