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
โฆ LIBER โฆ
Difference approximations of derivatives and polynomial splines
โ Scribed by E.N. Kolesnikova; V.S. Yuferev
- Publisher
- Elsevier Science
- Year
- 1982
- Weight
- 277 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Copositive Polynomial and Spline Approxi
โ
Y.K. Hu; D. Leviatan; X.M. Yu
๐
Article
๐
1995
๐
Elsevier Science
๐
English
โ 439 KB
Approximation of discontinuous solutions
โ
M.G. Vasil'ev; V.S. Yuferev
๐
Article
๐
1977
๐
Elsevier Science
โ 403 KB
Optimal approximate conversion of spline
โ
J. Hoschek; N. Wissel
๐
Article
๐
1988
๐
Elsevier Science
๐
English
โ 542 KB
On Positive and Copositive Polynomial an
โ
Y.K. Hu; K.A. Kopotun; X.M. Yu
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 610 KB
For a function f # L p [&1, 1], 0< p< , with finitely many sign changes, we construct a sequence of polynomials P n # 6 n which are copositive with f and such that & f &P n & p C| . ( f , (n+1) &1 ) p , where | . ( f , t) p denotes the Ditzian Totik modulus of continuity in L p metric. It was shown
Derivatives of the algebraic polynomials
โ
Maurice Hasson
๐
Article
๐
1980
๐
Elsevier Science
๐
English
โ 519 KB
Simultaneous Approximations for Function
โ
Yongping Liu; Guozhen Lu
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 141 KB