Li, Shuigen; Zhu, Changzhong Local strong unicity constant on domain in nonlinear uniform approximation. (Chinese. English summary) Zbl 1026.41018 J. Xi’an Jiaotong Univ. 34, No. 2, 104-107 (2000). 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. Reviewer: Shi Ying-Guang (Beijing) MSC: 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy Keywords:nonlinear uniform approximation; local strong unicity constant; best parameter PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Zhu}, J. Xi'an Jiaotong Univ. 34, No. 2, 104--107 (2000; Zbl 1026.41018)