Annals of Functional Analysis

On Minkowski and Hermite-Hadamard integral inequalities via fractional integration

Zoubir Dahmani

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In this paper, 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, Art. ID 148102, 9 pp.] and [L. BougoffaJ. qualPure and ApplMath 7 (2006), no. 2, Article 60, 3 pp.]. Some interested inequalities of these references can be deduced as some special cases.

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Ann. Funct. Anal. Volume 1, Number 1 (2010), 51- 58.

First available in Project Euclid: 12 May 2014

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Zentralblatt MATH identifier

Primary: 26D10: Inequalities involving derivatives and differential and integral operators
Secondary: 26A33: Fractional derivatives and integrals

Concave function Hermite-Hadamard inequality Minkowski inequality Riemann-Liouville fractional integral


Dahmani, Zoubir. On Minkowski and Hermite-Hadamard integral inequalities via fractional integration. Ann. Funct. Anal. 1 (2010), no. 1, 51-- 58. doi:10.15352/afa/1399900993.

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