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arxiv: 1411.2467 · v1 · pith:M4C2BS6Enew · submitted 2014-11-05 · 🧮 math.CA · cs.NA· math.FA· math.NA

On root mean square approximation by exponential functions

classification 🧮 math.CA cs.NAmath.FAmath.NA
keywords approximationlinearproblemsquareexponentialfunctionsmeannonlinear
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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.

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