Coconvex Pointwise Approximation
Assume that a function f ∈ C[−1, 1] changes its convexity at a finite collection Y := {y 1, ... y s} of s points yi ∈ (−1, 1). For each n > N(Y), we construct an algebraic polynomial Pn of degree ≤ n that is coconvex with f, i.e., it changes its convexity at the same points yi as f and |f(x)−P...
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| Date: | 2002 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2002
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164317 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Coconvex Pointwise Approximation / G.A. Dzyubenko, J.Gilewicz, I.A. Shevchuk // Український математичний журнал. — 2002. — Т. 54, № 9. — С. 1200–1212. — Бібліогр.: 17 назв. — англ. |