Shape-preserving approximation by spline functions (Q1101907)
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scientific article; zbMATH DE number 4048304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape-preserving approximation by spline functions |
scientific article; zbMATH DE number 4048304 |
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Shape-preserving approximation by spline functions (English)
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1987
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The main purpose of this paper is to establish the Jackson and Bernstein type theorems for \(L_{\bar p}\) approximation by monotone and convex splines whose knots are not equally spaced. By the way, he gives a negative answer to Devore's conjectures on these problems.
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Jackson theorem
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monotone splines
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Bernstein theorems
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convex splines
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Devore's conjectures
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