𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a counterexample in monotone approximation

✍ Scribed by Xiang Wu; Song Ping Zhou

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
265 KB
Volume
69
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

One Example in Monotone Approximation
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).

Counterexample to a Problem on Tensor Pr
Counterexample to a Problem on Tensor Product Approximation
✍ Vilmos Totik πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 243 KB

Answering a conjecture of M. von Golitschek in the negative, a compact set K is constructed on the plane such that not every continuous function on K can be uniformly approximated by continuous functions of the form g(x)+h( y), and yet K does not contain a closed path of points with consequitive poi