On root mean square approximation by exponential functions
arXiv:1411.24671.21 citations
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This is an incremental theoretical contribution for researchers in approximation theory.
The paper addresses root mean square approximation of square integrable functions by exponential functions, solving the linear part and studying the nonlinear part via an example. No concrete numerical results are provided.
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.