کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626427 1631791 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiscale interpolation on the sphere: Convergence rate and inverse theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Multiscale interpolation on the sphere: Convergence rate and inverse theorem
چکیده انگلیسی

In this paper we study the convergence rate and inverse theorem for spherical multiscale interpolation in Lp   and Sobolev norms. The multiscale interpolation is constructed using a sequence of scaled, compactly supported radial basis functions restricted to the unit sphere SnSn. For the interpolation scheme the problem called “native space barrier” is considered. In addition, a Bernstein type inequality is established to derive an inverse theorem for the multiscale interpolation, and some numerical experiments to illustrate the theoretical results are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 263, 15 July 2015, Pages 134–150
نویسندگان
, ,