Stability of approximation in classical problems of geometric approximation theory
- Authors: Alimov A.R.1,2, Tsar'kov I.G.1,3
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Affiliations:
- Lomonosov Moscow State University
- Saint Petersburg State University
- Moscow Center for Fundamental and Applied Mathematics
- Issue: Vol 89, No 6 (2025)
- Pages: 3-27
- Section: Articles
- URL: https://ogarev-online.ru/1607-0046/article/view/358687
- DOI: https://doi.org/10.4213/im9660
- ID: 358687
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Abstract
Approximative compactness type properties in various problems of $\min$ - and $\max$ -approximation are studied.
This leads naturally to “special points” of approximation theory — these being the spaces characterizable in approximative compactness terms for various classical problems of approximation. These “special points” are CLUR–spaces, Day–Oshman spaces, Anderson–Megginson spaces, CMLUR-spaces, and AT-spaces.
This leads naturally to “special points” of approximation theory — these being the spaces characterizable in approximative compactness terms for various classical problems of approximation. These “special points” are CLUR–spaces, Day–Oshman spaces, Anderson–Megginson spaces, CMLUR-spaces, and AT-spaces.
About the authors
Alexey Rostislavovich Alimov
Lomonosov Moscow State University; Saint Petersburg State University
Email: alexey.alimov-msu@yandex.ru, alexey.alimov@gmail.com
ORCID iD: 0000-0001-8806-1593
Scopus Author ID: 7007117638
ResearcherId: M-3902-2015
Doctor of physico-mathematical sciences, Head Scientist Researcher
Igor' Germanovich Tsar'kov
Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics
Email: tsar@mech.math.msu.su
ORCID iD: 0000-0002-5943-3711
Scopus Author ID: 6602443197
Doctor of physico-mathematical sciences, Professor
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