کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4608320 1337924 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An estimate for multivariate interpolation II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
An estimate for multivariate interpolation II
چکیده انگلیسی

Suppose u is a function on a domain Ω in Rn all of whose mth order distributional derivatives are in Lp(Ω) and m is sufficiently large to imply that u is continuous. If the values of u on a sufficiently dense, but not necessarily regular, grid of points are in lp we obtain an estimate of the Lp(Ω) norm of u in terms of the lp norm of these values and the Lp norms of its mth order derivatives. This result is useful in obtaining error estimates for certain interpolation schemes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 142, Issue 2, October 2006, Pages 116-128