Chebyshev type inequalities for the Saigo fractional integrals and their \(q\)-analogues. (English) Zbl 1271.26008

Summary: The aim of the present paper is to obtain certain new integral inequalities involving the Saigo fractional integral operator. It is also shown how the various inequalities considered in this paper admit themselves of \(q\)-extensions which are capable of yielding various results in the theory of \(q\)-integral inequalities.


26D10 Inequalities involving derivatives and differential and integral operators
26A33 Fractional derivatives and integrals
05A30 \(q\)-calculus and related topics
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