On the Approximation of Derivatives of the Interpolation Hermite Polynomial on a Triangle

被引:1
|
作者
Meleshkina, A. V. [1 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
关键词
interpolation Hermite polynomial on a triangle; approximation of derivatives; bounds on the approximation error;
D O I
10.1134/S0965542510020016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Bounds on the deviation of the directional derivatives of the Hermite polynomial in the directions of a triangle sides are obtained; it is proved that these bounds are sharp. As a consequence, bounds on the deviations of the partial derivatives up to the third order inclusive are obtained.
引用
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页码:201 / 210
页数:10
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