Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators

Abstract

Various differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type. This operator will be used alongwith the existing Saigo type and Q-Saigo type fractional integral operators to establish extended and generalized versions of several inequalities, including Pólya-Szegő and Chebyshev type inequalities.

Keywords

• Pólya-Szegő inequality
• Chebyshev inequality
• Saigo fractional integral operator
• q-Saigo fractional integral operator