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Infinite Equations in Constructive Analysis

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Multivariate Approximation Theory

Abstract

Several authors have used infinite systems of equations for constructions in analysis: Borel, Perron, Riesz, Eidelheit, Pólya, Pittnauer and others, cf. Cooke [2], Pittnauer [13], Schumacher [l5] [l6], Linden-Pittnauer-Wyrwich [8]. Yet there are many more applications available, especially applications concerning multivariate problems. We state some basic principles and results, indicating further lines of research.

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Scherer, R., Zeller, K. (1979). Infinite Equations in Constructive Analysis. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6289-9_21

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  • DOI: https://doi.org/10.1007/978-3-0348-6289-9_21

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1102-5

  • Online ISBN: 978-3-0348-6289-9

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