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On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\) - MaRDI portal

On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\) (Q1921821)

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scientific article; zbMATH DE number 923538
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English
On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\)
scientific article; zbMATH DE number 923538

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    On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\) (English)
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    15 October 1996
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    This paper is concerned with the existence of a best uniform approximation to a real function in two variables by the sums of functions in one variable. The authors present geometric conditions imposed on the domain of definition of functions which guarantee existence for a best approximation. Obtained results are demonstrated by some examples.
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    function in two variables
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    best approximation
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