New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals

Abstract

Recently, several papers related to integral inequalities involving various fractional integral operators have been presented. In this work, motivated essentially by the previous works, we prove some new Polya-Szegö inequalities via conformable fractional integral operator and use them to prove some new fractional Chebyshev type inequalities concerning the integral of the product of two functions and the product of two integrals which are improvement of the results in the paper [Ntouyas, S.K., Agarwal, P. and Tariboon, J., On Polya-Szegö and Chebyshev type inequalities involving the Riemann-Liouville fractional integral operators, J. Math. Inequal (see [9])].

Keywords

• chebyshev inequality
• polya-szegö type inequalities
• conformable fractional integrals