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


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

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. (in Russian)

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. (in Russian) doi:10.1007/BF01087192

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




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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