Open Access

Some Generalized Error Inequalities and Applications

Journal of Inequalities and Applications20082008:845934

Received: 4 February 2008

Accepted: 29 July 2008

Published: 21 September 2008


We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's , 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.

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Authors’ Affiliations

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University
Department of Mathematics, COMSATS Institute of Information Technology


© F. Zafar and N. A. Mir. 2008

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