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An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration

By Pietro Cerone, Sever S Dragomir and John Roumeliotis

Abstract

In this paper we derive a new integral inequality of Ostrowski-Grüss type and apply it to estimate the error bounds for some numerical quadrature rules

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Ostrowski's inequality, Grüss' inequality, numerical quadrature rules
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 1998
OAI identifier: oai:eprints.vu.edu.au:17115

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Citations

  1. An inequality of Ostrowski-Gr uss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules,
  2. (1993). Classical and New Inequalities in Analysis,
  3. (1994). Inequalities for Functions and Their Integrals and Derivatives,

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