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

2010/05/05 by Sarikaya, M. Z., Set, E., Ozdemir, M. E.
#26D10 #26D15 #41A55 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1005.0701

Abstract

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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