Some generalized Riemann-Liouville k-fractional integral inequalities

Abstract

Abstract The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

Keywords

• integral inequalities
• Chebyshev functional
• Riemann-Liouville k-fractional integral operator
• Pólya and Szegö type inequalities