English

On root mean square approximation by exponential functions

Classical Analysis and ODEs 2014-11-11 v1 Functional Analysis Numerical Analysis

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.

Keywords

Cite

@article{arxiv.1411.2467,
  title  = {On root mean square approximation by exponential functions},
  author = {Ruslan Sharipov},
  journal= {arXiv preprint arXiv:1411.2467},
  year   = {2014}
}

Comments

AmSTeX, 6 pages, amsppt style

R2 v1 2026-06-22T06:53:35.466Z