The Zero-Removing Property and Lagrange-Type Interpolation Series

The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expr...

Full description

Saved in:
Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 32; no. 8; pp. 858 - 876
Main Authors Fernàndez-Moncada, P. E., García, A. G., Hernández-Medina, M. A.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Taylor & Francis Group 01.08.2011
Taylor & Francis
Subjects
Analytic Kramer kernels
Exact sciences and technology
Fourier analysis
Functional analysis
Interpolation
Lagrange-type interpolation series
Mathematical analysis
Mathematical models
Mathematics
Optimization
Sampling
Sciences and techniques of general use
Stability
Theorems
Zero-removing property
Analytic Kramer kernels
Necessary and sufficient condition
Lagrange interpolation
46E22
Zero-removing property
Lagrange-type interpolation series
Sampling
42C15
Numerical stability
94A20
Online AccessGet full text

Cover

More Information
Summary:The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2011.587076