Sharp estimates of the error of interpolation by bilinear splines for some classes of functions (Q679859)
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scientific article; zbMATH DE number 6828058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp estimates of the error of interpolation by bilinear splines for some classes of functions |
scientific article; zbMATH DE number 6828058 |
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Sharp estimates of the error of interpolation by bilinear splines for some classes of functions (English)
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22 January 2018
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Splines are defined as piecewise polynomials in one and, e.g. by tensor-products or similar constructions in two or more variables (dimensions). In this paper, the splines are defined on two-dimensional grids, on each of whose local rectangles, the spline is a bilinear polynomial. For such functions and for differentiable approximands, the author prove optimal (sharp) error estimates using the approximands' moduli of continuity.
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bilinear interpolation spline
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modulus of continuity
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Steklov function
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