Uniqueness of solutions in multivariate Chebyshev approximation problems
نویسندگان
چکیده
Abstract We study the solution set to multivariate Chebyshev approximation problem, focussing on ill-posed case when uniqueness of solutions can not be established via strict polynomial separation. obtain an upper bound dimension and show that nonuniqueness is generic for problems discrete domains. Moreover, given a prescribed points minimal maximal deviation we construct function which best approximating polynomials any choice domain. also present several examples illustrate aforementioned phenomena, demonstrate practical application our results propose number open questions.
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ژورنال
عنوان ژورنال: Optimization Letters
سال: 2023
ISSN: ['1862-4480', '1862-4472']
DOI: https://doi.org/10.1007/s11590-023-02048-y