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Volume 1, Issue 4
Error Bound for Bernstein-Bézier Triangular Approximation

Geng-Zhe Chang & Yu-Yu Feng

J. Comp. Math., 1 (1983), pp. 335-340.

Published online: 1983-01

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  • Abstract

Based upon a new error bound for the linear interpolant to a function defined on a triangle and having continuous partial derivatives of second order, the related error bound for n-th Bernstein triangular approximation is obtained. The order of approximation is 1/n.

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@Article{JCM-1-335, author = {Geng-Zhe Chang and Yu-Yu Feng}, title = {Error Bound for Bernstein-Bézier Triangular Approximation}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {4}, pages = {335--340}, abstract = {

Based upon a new error bound for the linear interpolant to a function defined on a triangle and having continuous partial derivatives of second order, the related error bound for n-th Bernstein triangular approximation is obtained. The order of approximation is 1/n.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9710.html} }
TY - JOUR T1 - Error Bound for Bernstein-Bézier Triangular Approximation AU - Geng-Zhe Chang & Yu-Yu Feng JO - Journal of Computational Mathematics VL - 4 SP - 335 EP - 340 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9710.html KW - AB -

Based upon a new error bound for the linear interpolant to a function defined on a triangle and having continuous partial derivatives of second order, the related error bound for n-th Bernstein triangular approximation is obtained. The order of approximation is 1/n.

Geng-Zhe Chang and Yu-Yu Feng. (1983). Error Bound for Bernstein-Bézier Triangular Approximation. Journal of Computational Mathematics. 1 (4). 335-340. doi:
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