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Certain inequalities related to the Chebyshev’s functional involving a Riemann-Liouville operator. (English) Zbl 1314.26030

Summary: In this paper, the Riemann-Liouville fractional integral is used to establish some integral results related to Chebyshev’s functional in the case of differentiable functions whose derivatives belong to the space \(L_p([0,\infty[)\).

MSC:

26D15 Inequalities for sums, series and integrals
26A33 Fractional derivatives and integrals