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New spline basis functions for sampling approximations

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Abstract

We describe a method of constructing a new kind of splines with compact support on \(\mathbb{R}\). These basis functions consisting of a linear combination of the cardinal B-splines of mixed orders enable us to achieve simultaneously a good sampling approximation and an interpolation of any smooth function.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, 1–1 Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan

    Toshihide Ueno, Simon Truscott & Masami Okada

Authors
  1. Toshihide Ueno
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  2. Simon Truscott
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  3. Masami Okada
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Correspondence to Toshihide Ueno.

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Ueno, T., Truscott, S. & Okada, M. New spline basis functions for sampling approximations. Numer Algor 45, 283–293 (2007). https://doi.org/10.1007/s11075-007-9119-x

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  • DOI: https://doi.org/10.1007/s11075-007-9119-x

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