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
Convergence rates of ergodic limits for semigroups and cosine functions
โ Scribed by Jerome A. Goldstein; Charles Radin; R. E. Showalter
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 222 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a general approximation process we formulate theorems concerning rates of convergence, including theorems about saturation class, non-optimal rates, and sharpness of non-optimal convergence. The general results are then applied to n-times integrated semigroups and cosine functions, yielding some
Let G be a semitopological semigroup. Let C be a closed convex subset of a uniformly convex Banach space E with a Frechet differentiable norm and แฎ s ร 4 T:tg G be a continuous representation of G as asymptotically nonexpansive t ลฝ . ลฝ . type mappings of C into itself such that the common fixed poi