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arXiv 1411.24672014-11-05math.CAcs.NAmath.FAmath.NA

关于用指数函数进行均方逼近的问题

On root mean square approximation by exponential functions

Ruslan Sharipov

备注：: AmSTeX, 6 pages, amsppt style

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AI总结：

研究了用有限线性组合的指数函数对平方可积函数进行均方逼近问题，解决线性部分并探讨非线性情况的特定例子。

摘要：

本文考虑了用有限线性组合的指数函数对平方可积函数进行均方逼近的问题。该问题被分为线性和非线性部分。线性逼近问题得到解决。然后在某些特定例子中研究了非线性问题。

英文摘要：

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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