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Ostrowski-type fractional integral inequalities for mappings whose derivatives are \(h\)-convex via Katugampola fractional integrals. (English) Zbl 1438.26034

Summary: In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for \(h\)-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals. Also we deduce some known results by using \(p\)-functions, convex functions and \(s\)-convex functions.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26A33 Fractional derivatives and integrals
26A51 Convexity of real functions in one variable, generalizations
26D07 Inequalities involving other types of functions
26D15 Inequalities for sums, series and integrals
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