Smooth Uniform Approximation of Multivariate Spline Function
DOI:
https://doi.org/10.54097/hset.v56i.10101Keywords:
Multivariate Spline, Smooth Uniform Approximation, Non-Smooth Function, Inductive, First-Order SmoothnessAbstract
Multivariable spline approximation is of great significance both in mathematics and in practice. This involves the approximation of non-smooth functions. In this paper, the approximation of the non-smooth function , which is the most representative problem in robust statistics, is discussed. We propose a compact smooth uniform approximation algorithm using spline curves.
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