Abstract
In this present article, we establish certain new Polya-Szego-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function psi in the kernel. We then prove certain new Chebyshev-type tempered fractional integral inequalities for the said operator with the help of newly established Polya-Szego-type tempered fractional integral inequalities. Also, some new particular cases in the sense of classical tempered fractional integrals are discussed. Additionally, examples of constructing bounded functions are considered. Furthermore, one can easily form new inequalities for Katugampola fractional integrals, generalized Riemann-Liouville fractional integral concerning another function psi in the kernel, and generalized fractional conformable integral by applying different conditions.