Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals

Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals

We use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.579-583-1457
Hauptverfasser: Li, Guangzhou, Chen, Feixiang
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities (Mathematics)
Inequality
Integrals
Mathematical functions
Mathematical research
Quadratic functions
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Zusammenfassung:We use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/851271