We improve a result of D. Knuth about the convergence of approximations of a continued fraction. 1998 Academic Press 0. INTRODUCTION Recently several authors have been interested by the convergence of distribution functions for various quantities related to the continued fraction expansion and more
On the convergence rate of vanishing viscosity approximations
β Scribed by Alberto Bressan; Tong Yang
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 258 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We define the concept of an A-regularized approximation process and prove for it uniform convergence theorems and strong convergence theorems with optimal and non-optimal rates. The sharpness of non-optimal convergence is also established. The general results provide a unified approach to dealing wi
This paper is concerned with the convergence rates of two processes \(\left\{A_{x}\right\}\) and \(\left\{B_{x}\right\}\), under the assumption that \(\left\|A_{x}\right\|=O(1)\) and there is a closed operator \(A\) such that \(B_{x} A \subset A B_{x}=I-A_{x},\left\|A A_{x}\right\|=O(e(\alpha))\), a