𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Markoff--Duffin--Schaeffer Inequalities Abstracted

✍ Scribed by R. J. Duffin and L. A. Karlovitz


Book ID
123631661
Publisher
National Academy of Sciences
Year
1985
Tongue
English
Weight
415 KB
Volume
82
Category
Article
ISSN
0027-8424

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Inequalities of Duffin--Schaeffer Type
✍ Nikolov, Geno πŸ“‚ Article πŸ“… 2001 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 171 KB
On Certain Duffin and Schaeffer Type Ine
✍ Geno Nikolov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 285 KB

Duffin and Schaeffer type inequalities related to some ultraspherical polynomials are established. One of the results obtained reads as follows: Let f be a real algebraic polynomial of degree at most n, 1) for all k # [1, ..., n]. Moreover, equality holds if and only if f =\T n . 1998 Academic Pres

Duffin and Schaeffer Type Inequality for
✍ Borislav Bojanov; Geno Nikolov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 280 KB

## We show that in the uniform norm for every real algebraic polynomial f of degree n which satisfies the inequalities | f (x)| |P (:, :) n (x)| at the points x of local extrema of the ultraspherical polynomial P (:, :) n in [&1, 1].