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Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces

By Eder Kikianty, Sever S Dragomir and Pietro Cerone

Abstract

An Ostrowski type inequality is developed for estimating the devi-\ud ation of the integral mean of an absolutely continuous function and the linear\ud combination of its values at k + 1 partition points on a segment in (real)\ud linear spaces. Some particular cases are provided which recapture earlier re-\ud sults along with the results for trapezoidal type inequalities and the classical\ud Ostrowski inequality. Inequalities are obtained by applying these results for\ud semi-inner products and some of these inequalities are proven to be sharp

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Ostrowski type inequality, absolutely continuous function, semi-inner product
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2007
OAI identifier: oai:eprints.vu.edu.au:17547

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Citations

  1. (2002). A new Ostrowski type inequality involving integral means over end intervals",
  2. (2002). On relationships between Ostrowski, Trapezoidal and Chebychev identities and inequalities",
  3. (1995). Ostrowski type inequalities",
  4. (2002). Ostrowski's inequality for vector-valued functions and applications",
  5. (1981). Principles of Real Analysis,
  6. (2001). Three point rules in numerical integration",

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