Existence, uniqueness, and stability of best and near-best approximations
Article Properties
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LanguageRussian
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DOI (url)
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Publication Date2023/01/01
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Journal
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Indian UGC (journal)
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Refrences96
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Citations3
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Alexey Rostislavovich Alimov Lomonosov Moscow State UniversitySteklov Mathematical Institute of Russian Academy of Sciences, Moscow ORCID
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Konstantin Sergeevich Ryutin Lomonosov Moscow State UniversityMoscow Center for Fundamental and Applied Mathematics
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Igor' Germanovich Tsar'kov Lomonosov Moscow State UniversityMoscow Center for Fundamental and Applied Mathematics ORCID
Abstract
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Критерий существования $1$-липшицевой выборки из метрической проекции на множество из непрерывных выборок из многозначного отображения | 2018 | |||
| Некоторые приложения геометрической теории приближения | 2017 | |||
| On continuous operators of generalized rational approximation in $L_p$ spaces | 2002 | |||
| Липшицевость ретракций и оператор обобщeнного рационального приближения | 2000 | |||
| Об $\varepsilon$-выборках | 1996 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Chebyshev sets that are unions of planes | Uspekhi Matematicheskikh Nauk | 2024 | ||
| Reflexivity for Spaces With Extended Norm | Russian Journal of Mathematical Physics |
| 2023 | |
| Approximative Solar Properties of Sets and Local Geometry of the Unit Sphere | Lobachevskii Journal of Mathematics |
| 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 2 |
| Science: Physics | 1 |
The category
Science: Mathematics 2
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Approximative Solar Properties of Sets and Local Geometry of the Unit Sphere and was published in 2023. The most recent citation comes from a 2024 study titled Chebyshev sets that are unions of planes. This article reached its peak citation in 2023, with 2 citations. It has been cited in 3 different journals. Among related journals, the Uspekhi Matematicheskikh Nauk cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.