Experimental Mathematics

On the Periodized Square of L2 Cardinal Splines

E. Giné, C. S. Güntürk, and W. R. Madych

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Abstract

We establish properties of and propose a conjecture concerning $\sum_m (S(x + m))2$, where $S$ is a piecewise polynomial cardinal spline in $L^2(\mathbb{R})$.

Article information

Source
Experiment. Math. Volume 20, Issue 2 (2011), 177-188.

Dates
First available in Project Euclid: 6 October 2011

Permanent link to this document
http://projecteuclid.org/euclid.em/1317924409

Mathematical Reviews number (MathSciNet)
MR2821389

Zentralblatt MATH identifier
1262.41007

Subjects
Primary: 65A15 62G07: Density estimation

Keywords
Euler exponential splines extremes piecewise polynomial splines symmetric polynomial expansions

Citation

Giné, E.; Güntürk, C. S.; Madych, W. R. On the Periodized Square of L 2 Cardinal Splines. Experiment. Math. 20 (2011), no. 2, 177--188. http://projecteuclid.org/euclid.em/1317924409.


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