Some Generalized Error Inequalities and Applications. (16th November 2008)

• Record Type: Journal Article
• Authors: Zafar, Fiza; Mir, Nazir Ahmad
• Other Names: Dragomir Sever Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2008(2008)
• Publication Date: 2008-11-16
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2008/845934
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's3 / 8, and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different classes of function is also given.