Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions-Reference-Cited by-同舟云学术

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Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions

Published:2016-09 Issue: Volume:209 Page:44-57
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Kuzmenko Dmytro^ORCID,Skorokhodov Dmytro^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference31 articles.

1. The Theory of Splines and their Applications;Ahlberg,1967

2. A formula for expansion in the neighborhood of an angle;Anikeyenko;Dopov. Akad. Nauk Ukr. RSR A,1972

3. Exact asymptotic of the uniform error of interpolation by multilinear splines;Babenko;J. Approx. Theory,2010

4. On asymptotical behavior of the optimal linear spline interpolation error of C2 functions;Babenko;East J. Approx.,2006

5. Exact asymptotics of the optimal Lp-error of asymmetric linear spline approximation;Babenko;Jaen J. Approx.,2014

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the error in transfinite interpolation by low-rank functions;Journal of Approximation Theory;2020-05

2. The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions;Dnipro University Mathematics Bulletin;2018-06-25

3. Exact solution of an optimization problem generated by the three-dimensional Laplace equation;Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ.;2018-05

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