On the Periodized Square of L 2 Cardinal Splines
نویسندگان
چکیده
We establish properties of and propose a conjecture concerning P m(S(x + m)) 2 where S is a piecewise polynomial cardinal spline in L(R). 2000 Mathematics subject classification: 65A15, 62G07
منابع مشابه
A universal formula for generalized cardinal B-splines
We introduce a universal and systematic way of defining a generalized Bspline based on a linear shift-invariant (LSI) operator L (a.k.a. Fourier multiplier). The generic form of the B-spline is βL = LdL −1δ where L−1δ is the Green’s function of L and where Ld is the discretized version of the operator that has the smallest-possible null space. The cornerstone of our approach is a main construct...
متن کاملApproximation by New Families of Univariate Symmetrical B-splines
In this paper we prove that there exists a unique positive symmetrical univariate B-spline with minimal support. It is obtained as linear combination of a minimal number of successive classical B-splines with multiple knots in the space, S d , of cardinal polynomial splines of class C and degree d. Next, we show that the approximation order in the space generated by the integer translates of th...
متن کاملII . Splines with uniform knots draft jul 74 , TEXed 1997
draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal
متن کاملChapter II . Splines with uniform knots draft jul 74 , TEXed 1997
draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal
متن کاملCardinal spline filters: Stability and convergence to the ideal sinc interpolator
In this paper, we provide an interpretation of polynomial spline interpolation as a continuous filtering process. We prove that the frequency responses of the cardinal spline filters converge to the ideal lowpass filter in all L f n o r m s with 1 ~<p < + ~ as the order of the spline tends to infinity. We provide estimates for the resolution errors and the interpolation errors of the various fi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Experimental Mathematics
دوره 20 شماره
صفحات -
تاریخ انتشار 2011