Integral error formulæ for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
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چکیده
منابع مشابه
Integral error formulæ for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
In this paper, we provide an integral error formula for a certain scale of mean value interpolations which includes the multivariate polynomial interpolation schemes of Kergin and Hakopian. This formula involves only derivatives of order one higher than the degree of the interpolating polynomial space, and from it we can obtain sharp L∞-estimates. These L∞-estimates are precisely those that num...
متن کاملUNIVERSITY OF WISCONSIN-MADISON CENTER FOR THE MATHEMATICAL SCIENCES Integral error formul for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
In this paper, we provide an integral error formula for a certain scale of mean value interpolations which includes the multivariate polynomial interpolation schemes of Kergin and Hakopian. This formula involves only derivatives of order one higher than the degree of the interpolating polynomial space, and from it we can obtain sharp L1-estimates. These L1-estimates are precisely those that num...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 1997
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s002110050280