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On the Application of the Peano Representation of Linear Functionals in Numerical Analysis

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Recent Progress in Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 430))

Abstract

For more than 80 years, Peano kernel theory has proven to be an important tool in numerical analysis. It is one aim of this paper to elucidate the wide range of possible applications of Peano’s representation of linear functionals. In the literature, Peano kernel theory is mostly considered for restricted classes of linear functionals. In this paper, it is also our objective to give an elementary but general approach for continuous linear functionals on C[a, b].

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Technische Universität Braunschweig, Pockelsstr. 14, D-38106, Braunschweig, Germany

    Helmut Brass

  2. Institut für Mathematik, Universität Hildesheim, Marienburger Platz 22, D-31141, Hildesheim, Germany

    Klaus-Jürgen Förster

Authors
  1. Helmut Brass
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  2. Klaus-Jürgen Förster
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Editor information

Editors and Affiliations

  1. University of Niš, Niš, Yugoslavia

    G. V. Milovanović (Faculty of Electronic Engineering) (Faculty of Electronic Engineering)

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Brass, H., Förster, KJ. (1998). On the Application of the Peano Representation of Linear Functionals in Numerical Analysis. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_10

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  • DOI: https://doi.org/10.1007/978-94-015-9086-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4945-2

  • Online ISBN: 978-94-015-9086-0

  • eBook Packages: Springer Book Archive

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