Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Alexey Rostislavovich Alimov"'
Publikováno v:
Uspekhi Matematicheskikh Nauk. 78:3-52
Изучаются вопросы существования и устойчивости $\varepsilon$-выборок (выборок из оператора почти наилучшего приближения). Раскрывается связь
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbfda8578b0988c7efd4a08e1216628c
https://doi.org/10.4213/rm10113
https://doi.org/10.4213/rm10113
Publikováno v:
Matematicheskie Zametki. 112:3-19
Устанавливается ряд теорем геометрической теории приближений для несимметрично нормированных пространств. Изучаются множества с непр
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ffc5b419d73210fad3e9bf61d94f7a9
https://doi.org/10.4213/mzm13313
https://doi.org/10.4213/mzm13313
Publikováno v:
Matematicheskie Zametki. 110:916-921
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0d64c85193fe3a541d1d23f5375d7e6
https://doi.org/10.4213/mzm13334
https://doi.org/10.4213/mzm13334
Publikováno v:
Математический сборник. 212:37-57
Дается характеризация трехмерных банаховых пространств, в которых любое чебышeвское множество монотонно линейно связно. А именно, в тре
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ab32e265d37b660c315ca5c7385c5cc
https://doi.org/10.4213/sm9325
https://doi.org/10.4213/sm9325
Autor:
Alexey Rostislavovich Alimov
Publikováno v:
Mathematical Notes. 108:309-317
We characterize the subsets of the space $$\ell^\infty_n$$ with continuous (lower semicontinuous) metric projection. One of the characteristic properties is the strict solarity of both the set and any nonempty intersection thereof with any support co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::472cd56e7152e3d3acc57f553292489b
https://doi.org/10.1134/s0001434620090011
https://doi.org/10.1134/s0001434620090011
Autor:
Alexey Rostislavovich Alimov
Publikováno v:
Journal of Mathematical Sciences. 250:385-390
A strict sun in a finite-dimensional (asymmetric) normed space X, dim X ≤ 3, is shown to be P-contractible, P-solar, $$ \overset{{}^{\circ}}{B} $$ -infinitely connected, $$ \overset{{}^{\circ}}{B} $$ -contractible, $$ \overset{{}^{\circ}}{B} $$ -re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bbd13b45ccdb097bb0651474dca0122
https://doi.org/10.1007/s10958-020-05021-7
https://doi.org/10.1007/s10958-020-05021-7
Autor:
Alexey Rostislavovich Alimov
Publikováno v:
Moscow University Mathematics Bulletin. 75:209-215
A geometric characterization of Chebyshev sets and suns in three-dimensional polyhedral spaces with cylindrical norm is presented. A number of new properties of Chebyshev sets, suns, sets with continuous metric projection in three-dimensional spaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39fef53a6a4da4078b8911c9901a4b19
https://doi.org/10.3103/s0027132220050022
https://doi.org/10.3103/s0027132220050022
Autor:
Alexey Rostislavovich Alimov
Publikováno v:
Matematicheskie Zametki. 108:323-333
Дается характеризация подмножеств пространства $\ell^\infty_n$ с непрерывной (полунепрерывной снизу) метрической проекцией. Одним из характе
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65aeb5bf08143f30ec7b1580bd07254a
https://doi.org/10.4213/mzm12725
https://doi.org/10.4213/mzm12725
Publikováno v:
Russian Mathematical Surveys. 74:775-849
The approximation of concrete function classes is the most common subject in the theory of approximations of functions. An important particular case of this is the problem of the Chebyshev centre and radius. As it turns out, this problem is not only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dcf3cfb7c1bf7c84bda3d6e9761de8a
https://doi.org/10.1070/rm9839
https://doi.org/10.1070/rm9839
Autor:
Alexey Rostislavovich Alimov
Publikováno v:
Differential Equations. 55:1311-1316
The structure of singularities of solutions u(·) of the eikonal equation ∣∇u∣ = 1, u∣∂Ω = 0 on a domain Ω ⊂ ℝn is studied. To this end, we consider smooth hypersurfaces that play the role of level surfaces of a possible solution. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12c794c1bbd5c80722acf989cfa8ab28
https://doi.org/10.1134/s0012266119100069
https://doi.org/10.1134/s0012266119100069