Approximation by homogeneous polynomials (Q5891394)
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scientific article; zbMATH DE number 6243523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by homogeneous polynomials |
scientific article; zbMATH DE number 6243523 |
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Approximation by homogeneous polynomials (English)
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8 January 2014
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Uniform approximations by even degree homogeneous polynomials are considered. For a centrally symmetric convex set with nonempty interior, all even continuous functions on its boundary (in two space dimensions; the problem is open for higher dimensions) can be uniformly approximated by them. This is a new, more elementary proof of this fact.
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homogeneous polynomials
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approximation
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convex surfaces and curves
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