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Local strong unicity constant on domain in nonlinear uniform approximation. (Chinese. English summary) Zbl 1026.41018

Using the local Haar condition and other conditions, Bartelt and Henry’s continuity theorem of the strong unicity constant in linear uniform approximation is generalized to include the local nonlinear uniform approximation for the local strong unicity constant. Meanwhile, the Bartelt’s continuity theorem for the strong unicity constant with respect to the approximated function is also generalized.

MSC:

41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
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