On the Lp-error of Approximation of Bivariate Functions by Harmonic Splines

نویسندگان

  • Yuliya Babenko
  • Tatyana Leskevich
چکیده

Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline “interpolation” (on the lines of a grid) as an alternative to polynomial spline interpolation (at vertices of a grid). We will discuss some advantages and drawbacks of this approach and present the asymptotics of the Lp-error for adaptive approximation by harmonic splines.

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تاریخ انتشار 2017