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Zbl 1205.26031
Dahmani, Z.
On Minkowski and Hermite-Hadamard integral inequalities via fractional integration. (English)
[J] Ann. Funct. Anal. AFA 1, No. 1, 51-58, electronic only (2010). ISSN 2008-8752/e

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 [{\it E. Set, M. E. Ozdemir} and {\it S. S. Dragomir}, J. Inequal. Appl. 2010, Article ID 286845, 12 p. (2010; Zbl 1197.26036) and {\it 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.

MSC 2000:: *26D15 Inequalities for sums, series and integrals of real functions
26A33 Fractional derivatives and integrals (real functions)

Keywords: concave function; Hermite-Hadamard inequality; Minkowski inequality; Riemann-Liouville fractional integral

Citations: Zbl 1197.26036; Zbl 1133.33300

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