Sharp asymptotics of the L p approximation error for interpolation on block partitions

Author:

Babenko Yuliya,Leskevich Tatyana,Mirebeau Jean-Marie

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference12 articles.

1. Babenko V.F.: Interpolation of continuous functions by piecewise linear ones. Math. Notes 24(1), 43–53 (1978)

2. Babenko V., Babenko Yu., Ligun A., Shumeiko A.: On asymptotical behavior of the optimal linear spline interpolation error of C 2 functions. East J. Approx. 12(1), 71–101 (2006)

3. Babenko Yu., Babenko V., Skorokhodov D.: Exact asymptotics of the optimal L p,Ω-error of linear spline interpolation. East J. Approx. 14(3), 285–317 (2008)

4. Babenko, Yu.: On the asymptotic behavior of the optimal error of spline interpolation of multivariate functions. PhD thesis (2006)

5. Babenko, Yu.: Exact asymptotics of the uniform error of interpolation by multilinear splines. J. Approx. Theory (to appear)

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