A. N. Kolmogorov and approximation theory. (Russian) Zbl 0675.01018
The author discusses in detail six papers of Kolmogorov on approximation theory and their influence on this theory. Table of contents: §1. Papers of A. N. Kolmogorov on approximation theory. §2. Exact bounds of approximation on classes. §3. Diameters. §4. Inequalities for derivatives. §5. Diameters of finite-dimensional sets. §6. Criterion of the shortest elements. §7. Proofs.
Reviewer: W.Wiȩsław
MSC:
01A60 | History of mathematics in the 20th century |
41-03 | History of approximations and expansions |