Monotone approximation in several variables
β Scribed by Robert Huotari; David Legg
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 477 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some reversed Hiilder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [l], (21, (31, [5], [S], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case with n functions o
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).