B-splines of Blaschke product type

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

B-splines of Blaschke product type

In this note we construct a class of new splines related to a Blaschke product. They emerge naturally when studying the filter functions of a class of linear time-invariant systems which are related to the boundary values of a Blaschke product for the purpose of sampling non-bandlimited signals using nonlinear Fourier atoms. The new splines generalize the well-known symmetric B-splines. We esta...

متن کامل

Stability of tensor product B-splines on domains

We construct a uniformly stable family of bases for tensor product spline approximation on domains in Rd. These bases are derived from the standard B-spline basis by normalization with respect to the L p-norm and a selection process relying on refined estimates for the de Boor-Fix functionals.

متن کامل

On the completeness of hierarchical tensor-product B-splines

Given a grid in R, consisting of d bi-infinite sequences of hyperplanes (possibly with multiplicities) orthogonal to the d axes of the coordinate system, we consider the spaces of tensor-product spline functions of a given degree on a multi-cell domain. Such a domain consists of finite set of cells which are defined by the grid. A piecewise polynomial function belongs to the spline space if its...

متن کامل

Bivariate Tensor-product B-splines in a Partly Linear Model

In some applications, the mean or median response is linearly related to some variables but the relation to additional variables are not easily parameterized. Partly linear models arise naturally in such circumstances. Suppose that a random sample f X i 2 R p and T i ranges over a unit square, and g 0 is an unknown function with a certain degree of smoothness. We make use of bivariate tensor-pr...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2011

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2011.09.002