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arxiv: 1005.0701 · v1 · submitted 2010-05-05 · 🧮 math.CA

On the Integral inequalities for mappings whose second derivatives are convex and applications

classification 🧮 math.CA
keywords inequalitiesapplicationsmappingssometrapezoidapplyconvexderivatives
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In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of real numbers are provided.

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