✦ LIBER ✦

One Example in Monotone Approximation

✍ Scribed by I.A. Shevchuk

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 306 KB
Volume: 86
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0068

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✦ Synopsis

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).

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