𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized monotone approximation inLpSpace

✍ Scribed by Yu Xiangming; Ma Yongpei


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1989
Tongue
English
Weight
344 KB
Volume
5
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Approximation ofk-Monotone Functions
✍ Kirill A. Kopotun πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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

Monotone IΟ•-approximation
✍ Miguel Marano; JosΓ© MarΓ­a Quesada πŸ“‚ Article πŸ“… 1997 πŸ› Springer 🌐 English βš– 283 KB
One Example in Monotone Approximation
✍ I.A. Shevchuk πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 306 KB

For each non-negative integer n a function f=f n is constructed such that f has a continuous and non-negative derivative f $ on I :=[&1, 1] and where is the value of the best uniform approximation on I of the function f $ ( f ) by arbitrary (monotone on I ) algebraic polynomials of degree n (n+1).