Ntouyas, Sotiris K.; Agarwal, Praveen; Tariboon, Jessada On Pólya-Szegő and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators. (English) Zbl 1337.26034 J. Math. Inequal. 10, No. 2, 491-504 (2016). Summary: In this paper, we investigate some new Pólya-Szegő type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the bounding functions are also given. Cited in 2 ReviewsCited in 31 Documents MSC: 26D10 Inequalities involving derivatives and differential and integral operators 26A33 Fractional derivatives and integrals 26D15 Inequalities for sums, series and integrals Keywords:integral inequalities; Chebyshev functional; Riemann-Liouville fractional integral operator; Pólya-Szegő type inequalities × Cite Format Result Cite Review PDF Full Text: DOI