𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Chebyshev–Markov Rational Functions over Several Intervals

✍ Scribed by A.L. Lukashov

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
359 KB
Volume
95
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

Chebyshev Markov rational functions are the solutions of the following extremal problem min c 1 , ..., c n # R "

with K being a compact subset of R and | n (x) being a fixed real polynomial of degree less than n, positive on K.

A parametric representation of Chebyshev Markov rational functions is found for K=

(1)

Article No. AT973225 333

📜 SIMILAR VOLUMES

Rational Points On Certain Abelian Varie
Rational Points On Certain Abelian Varieties Over Function Fields
✍ F. Hazama 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 269 KB

A structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists associated with various double covers of varieties is proved. As an application, a three-parameter family of elliptic curves whose generic Mordell-Weil rank is four is constructed. * 1995 Academic Press. Inc

On Linear Functionals of Rational Type o
On Linear Functionals of Rational Type over H(ID)
✍ Richard Fournier 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 290 KB

Let H(ID) denote the set of analytic functions in the unit disk ID of the complex plane, endowed with the topology of uniform convergence on compact subsets of ID. Let A denote the space of continuous linear functionals over H(ID). In this paper we obtain a characterization of those i E A such that