Cardinal spline interpolation from $H^{1}(\mathbb {Z})$ to $L_{1}(\mathbb {R})$
نویسندگان
چکیده
منابع مشابه
Cardinal Hermite Spline Interpolation with Shifted Nodes
Generalized cardinal Hermite spline interpolation is considered. A special case of this problem is the classical cardinal Hermite spline interpolation with shifted nodes. By means of a corresponding symbol new representations of the cardinal Hermite fundamental splines can be given. Furthermore, a new efficient algorithm for the computation of the cardinal Hermite spline interpolant is obtained...
متن کاملA new approach to semi-cardinal spline interpolation
The problem of semi-cardinal spline interpolation was solved by Schoenberg exploiting the piecewise polynomial form of the splines. In the present paper, we propose a new construction for the Lagrange functions of semi-cardinal spline interpolation , based on a radial basis and Fourier transform approach. This approach suggests a way of extending semi-cardinal interpolation to polyharmonic spli...
متن کاملFrom cardinal spline wavelet bases to highly coherent dictionaries
Wavelet families arise by scaling and translations of a prototype function, called the mother wavelet. The construction of wavelet bases for cardinal spline spaces is generally carried out within the multi-resolution analysis scheme. Thus, the usual way of increasing the dimension of the multi-resolution subspaces is by augmenting the scaling factor. We show here that, when working on a compact...
متن کاملA Cardinal Spline Approach to Wavelets
While it is well known that the mth order 5-spline Nm(x) with integer knots generates a multiresolution analysis, • • • C V_x c V0 C • ■ • , with the with order of approximation, we prove that i//(x) := Ú1mJ¡{2x 1), where L2m(x) denotes the (2m)th order fundamental cardinal interpolatory spline, generates the orthogonal complementary wavelet spaces Wk . Note that for m = 1 , when the ß-spline N...
متن کاملRobust Cardinal Interpolation
A new method for modeling functions that intersect given points is developed and demonstrated. This method yields a generally non-Gaussian probability density of y given x that has properties which are often desired in practice. It is shown that this density can have a smoother mean function and a variance which is never larger than that of a classic Gaussian process density.
متن کاملذخیره 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: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05290-4