On choice of nodes for locally mixed splines

A.A. Shumeiko (Dnipropetrovsk State University)

Abstract


We solve the problem of construction of the sequence of asymptotically optimal partitions of the square $$$[0, 1] \times [0, 1]$$$ at approximation of individual functions by two-dimensional local splines.

References


Ligun A.A., Storchai V.F. "On the best choice of nodes at approximation of functions by local Hermitian splines", Ukrainian Math. J., 1980; 32(6): 824-830. doi:10.1007/BF01087192


Varga R. Functional analysis and approximation theory in numerical analysis, 1974.

Korneichuk N.P., Pereverzev S.V. "To the question of approximation of two-variable functions by operators that are constructed on the base of one-dimensional operators", Theory of functions and topology, 1983.

Ligun A.A., Shumeiko A.A. "On optimal choice of nodes at approximation of functions by two-dimensional splines", Res. Math., 1982.




DOI: https://doi.org/10.15421/248712

  

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Copyright (c) 1987 A.A. Shumeiko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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