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Approximation by Exponential Sums

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Nonlinear Approximation Theory

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 7))

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Abstract

The rational functions and exponential sums belong to those concrete families of functions which are the most frequently studied in nonlinear approximation theory. The starting point in the consideration of exponential sums is an approximation problem often encountered for the analysis of decay processes in natural sciences. A given empirical function on a real interval is to be approximated by sums of the form

$$ \sum\limits_{v = 1}^n {{\alpha _v}{e^{{t_v}x}}} $$

where the parameters α v and t v are to be determined, while n is fixed.

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© 1986 Springer-Verlag Berlin Heidelberg

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Braess, D. (1986). Approximation by Exponential Sums. In: Nonlinear Approximation Theory. Springer Series in Computational Mathematics, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61609-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-61609-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64883-0

  • Online ISBN: 978-3-642-61609-9

  • eBook Packages: Springer Book Archive

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