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On Hadamard-type inequalities for \(k\)-fractional integrals. (English) Zbl 1355.26019

Summary: In this paper we prove Hadamard-type inequalities for \(k\)-fractional Riemann-Liouville integrals and Hadamard-type inequalities for fractional Riemann-Liouville integrals are deduced. Also we deduced some well known results related to Hadamard inequality.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26A51 Convexity of real functions in one variable, generalizations
26A33 Fractional derivatives and integrals