On the Integral inequalities for mappings whose second derivatives are convex and applications
Classical Analysis and ODEs
2010-05-06 v1
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.
Cite
@article{arxiv.1005.0701,
title = {On the Integral inequalities for mappings whose second derivatives are convex and applications},
author = {M. Z. Sarikaya and E. Set and M. E. Ozdemir},
journal= {arXiv preprint arXiv:1005.0701},
year = {2010}
}