On the periodized square of L2 cardinal splines

E. Giné; C. S. G̈unẗurk; W. R. Madych

doi:10.1080/10586458.2011.564543

On the periodized square of L² cardinal splines

E. Giné, C. S. G̈unẗurk, W. R. Madych

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish properties of and propose a conjecture concerning Σ_m(S(x + m))², where S is a piecewise polynomial cardinal spline in L ²(ℝ).

Original language	English (US)
Pages (from-to)	177-188
Number of pages	12
Journal	Experimental Mathematics
Volume	20
Issue number	2
DOIs	https://doi.org/10.1080/10586458.2011.564543
State	Published - 2011

Keywords

Euler exponential splines
Extremes
Piecewise polynomial splines
Symmetric polynomial expansions

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1080/10586458.2011.564543

Cite this

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title = "On the periodized square of L2 cardinal splines",

abstract = "We establish properties of and propose a conjecture concerning Σm(S(x + m))2, where S is a piecewise polynomial cardinal spline in L 2(ℝ).",

keywords = "Euler exponential splines, Extremes, Piecewise polynomial splines, Symmetric polynomial expansions",

author = "E. Gin{\'e} and {\"G}unẗurk, {C. S.} and Madych, {W. R.}",

year = "2011",

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KW - Symmetric polynomial expansions

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