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Convergence Properties of Spline-Like Cardinal Interpolation Operators Acting on \(\ell ^p\) Data

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Abstract

In this article, we provide examples of interpolation and approximation methods for \(\ell ^p\) data. We also show that the resulting interpolants share convergence properties similar to those enjoyed by splines.

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Acknowledgments

The author wishes to thank the anonymous referees for their helpful comments and suggestions which greatly improved the manuscript.

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Authors and Affiliations

  1. Virginia Commonwealth University, Richmond, VA, 23284, USA

    Jeff Ledford

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  1. Jeff Ledford
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Correspondence to Jeff Ledford.

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Communicated by Akram Aldroubi.

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Ledford, J. Convergence Properties of Spline-Like Cardinal Interpolation Operators Acting on \(\ell ^p\) Data. J Fourier Anal Appl 23, 229–244 (2017). https://doi.org/10.1007/s00041-016-9468-8

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  • DOI: https://doi.org/10.1007/s00041-016-9468-8

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