A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ and applications

Autor:	Qayyum, Ather, Faye, Ibrahima, Shoaib, Muhammad, Latif, Muhammad Amer
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 26D15 41A55 41A80 65C50
Druh dokumentu:	Working Paper
Popis:	In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ . 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. Comment: To Appear in International Journal of Pure and Applied Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.08283 Zobrazit plný text záznamu View this record from Arxiv