𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Rational Lacunary Approximation on the Interval [−1, 1]

✍ Scribed by S.P. Zhou


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
218 KB
Volume
81
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Complex Zolotarev Polynomials on the Rea
✍ C. Detaille; J.P. Thiran 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 321 KB

We consider complex Zolotarev polynomials of degree \(n\) on \([-1,1]\), i.e., monic polynomials of degree \(n\) with the second coefficient assigned to a given complex number \(\rho\), that have minimum Chebyshev norm on \([-1,1]\). They can be characterized either by \(n\) or by \(n+1\) extremal p

On the Approximation of Irrationals by R
✍ Carstenelsner 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 421 KB

Let be a real irrational number, and a 2 0, b 2 0 , a > 1 be integers. A theorem of S. UCHIYAMA states that there are infinitely many pairs of integers u and v # 0 such that provided that it is not a z b z 0 mod s. It is shown that this result is best-possible for all integers s > 1. 1991 Mathemati

On the approximability of an interval sc
✍ Frits C. R. Spieksma 📂 Article 📅 1999 🏛 Springer US 🌐 English ⚖ 148 KB 👁 2 views

In this paper we consider a general interval scheduling problem. The problem is a natural generalization of "nding a maximum independent set in an interval graph. We show that, unless P"NP, this maximization problem cannot be approximated in polynomial time within arbitrarily good precision. On the

On the Convergence of Polynomial Approxi
✍ Guo-Jin Wang; Thomas W. Sederberg; Falai Chen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 389 KB

This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation converges if all eigenvalue moduli of a certain r\_r