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On Minkowski and Hermite-Hadamard integral inequalities via fractional integration. (English) Zbl 1205.26031
Summary: We use the the Riemann-Liouville fractional integral to develop some new results related to the Hermite-Hadamard inequality. Other integral inequalities related to the Minkowsky inequality are also established. Our results have some relationships with [E. Set, M. E. Ozdemir and S. S. Dragomir, J. Inequal. Appl. 2010, Article ID 286845, 12 p. (2010; Zbl 1197.26036) and L. Bongoffa, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 5, Paper No. 179, 3 p., electronic only (2006; Zbl 1133.33300)]. Some interested inequalities of these references can be deduced as some spezial cases.
26D15Inequalities for sums, series and integrals of real functions
26A33Fractional derivatives and integrals (real functions)