A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ and applications
Classical Analysis and ODEs
2015-03-31 v1
Abstract
In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L . Some well known inequalities can be derived as special cases. In addition, perturbed mid-point inequality and perturbed trapezoid inequality are also obtained. The obtained inequalities have immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid and midpoint formula. Applications to some special means are also investigated.
Keywords
Cite
@article{arxiv.1503.08283,
title = {A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ and applications},
author = {Ather Qayyum and Ibrahima Faye and Muhammad Shoaib and Muhammad Amer Latif},
journal= {arXiv preprint arXiv:1503.08283},
year = {2015}
}
Comments
To Appear in International Journal of Pure and Applied Mathematics