publication . Preprint . 2014

On root mean square approximation by exponential functions

Sharipov, Ruslan;
Open Access English
  • Published: 05 Nov 2014
Abstract
The problem of root mean square approximation of a square integrable function by finite linear combinations of exponential functions is considered. It is subdivided into linear and nonlinear parts. The linear approximation problem is solved. Then the nonlinear problem is studied in some particular example.
Subjects
free text keywords: Mathematics - Classical Analysis and ODEs, 42C15, 46C07, Mathematics - Functional Analysis, Mathematics - Numerical Analysis
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1. Leontiev A. F., Series of exponential functions, Nauka publishers, Moscow, 1976.

2. Sharipov R. A., Clusters of exponential functions in the space of square integrable functions, e-print arXiv:1410.7202 in Electronic Archive http://arXiv.org.

Bashkir State University, 32 Zaki Validi street, 450074 Ufa, Russia E-mail address: r-sharipov@mail.ru

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