Diaz-Metcalf and Pólya-Szegö type inequalities associated with Saigo fractional integral operator

R. K. Saxena, J. Daiya, T. K. Pogány

This paper deals with the derivation of certain new Pólya-Szegö type inequalities by making use of the Saigo fractional integral operator. The results obtained cover the same kind of conclusions in the case of Riemann-Liouville and Erdelyi-Kober fractional integral operators. 

Tbilisi Mathematical Journal, Vol. 7(2) (2014), pp. 11-20