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On copositive approximation by algebraic polynomials

โœ Scribed by Kirill Kopotun


Book ID
112650982
Publisher
Springer
Year
1995
Tongue
English
Weight
577 KB
Volume
21
Category
Article
ISSN
0133-3852

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We prove that if a function \(f \in \mathbb{C}[0,1]\) changes sign finitely many times, then for any \(n\) large enough the degree of copositive approximation to \(f\) by quadratic spliners with \(n-1\) equally spaced knots can be estimated by \(C \omega_{2}(f, 1 / n)\), where \(C\) is an absolute c