Shape-Preserving Approximation by Spline Functions

Citation:

Wang Xiang.Shape-Preserving Approximation by Spline Functions[J].Chinese Annals of Mathematics B,1987,8(4):454~465
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Authors:

Wang Xiang;
Abstract: The author establishes the Jackson-type estimates for monotone and convex approximation by spline functions with non-equally spaced knots. These estimaes involve high order modulus of the approximated function and its derivatives. Hence some Bernstein- type theorems can be got conveniently.

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