A Note on the Approximation of Functions of Several Variables by Sums of Functions of One Variable.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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For a class of functions of several variables, which contains the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme. Author
- Theoretical Mathematics