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An Integral Inequality for Twice Differentiable Mappings and Applications\ud

By Sever S Dragomir and Anthony Sofo

Abstract

An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), integral inequalities, quadrature formulae
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 1999
OAI identifier: oai:eprints.vu.edu.au:17196

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Citations

  1. (1998). An Inequality of Ostrowski Type for Mappings whose Second Derivatives are Bounded and Applications.
  2. (1999). An Ostrowski Type Inequality for Mappings whose Second Derivatives are Bounded and Applications.
  3. (1998). Application of Ostrowski’s Inequality to the Estimate of Error Bounds for Some Special Means and Some Numerical Quadrature Rules.
  4. (1994). Inequalities for Functions and Their Integrals and Derivatives.

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