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arxiv: 1304.7227 · v2 · pith:S362BB4Tnew · submitted 2013-04-26 · 🧮 math.CA

Generalization of different type integral inequalities for ({α},m)-convex functions via fractional integrals

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keywords functionsintegraltypealphaconvexdifferentiablefractionalidentity
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In this paper, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable ({\alpha},m)-convex functions via Riemann Liouville fractional integral.

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