On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals

Abstract

Abstract In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k > 0 $k>0$ , present some new important inequalities of Pólya–Szegö and Čebyšev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.

Keywords

• Pólya–Szegö inequality
• Čebyšev inequality
• Generalized fractional integral