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Best approximation by monotone functions

โœ Scribed by P.W Smith; J.J Swetits


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
233 KB
Volume
49
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES


Approximation ofk-Monotone Functions
โœ Kirill A. Kopotun ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 259 KB

It is shown that an algebraic polynomial of degree k&1 which interpolates a k-monotone function f at k points, sufficiently approximates it, even if the points of interpolation are close to each other. It is well known that this result is not true in general for non-k-monotone functions. As an appli