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Author ID: alimov.alexey-r Recent zbMATH articles by "Alimov, Alexey R."
Published as: Alimov, A. R.; Alimov, Alexey R.; Alimov, Alekseĭ R.; Alimov, Alexey; Alimov, Alekseĭ Rostislavovich
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 70 Publications since 1995, including 2 Books and 1 Additional arXiv Preprint
Reviewing Activity: 301 Reviews
Co-Authors: 26 Co-Authors with 25 Joint Publications
874 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 455 times in 124 Documents Cited by Year
Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G.
73
2016
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R.
26
2006
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R.
21
2001
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R.
20
2014
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G.
20
2016
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G.
17
2019
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R.
16
2003
Geometric approximation theory. Zbl 1494.41001
Alimov, Alexey R.; Tsar’kov, Igor’ G.
16
2022
Ball-complete sets and solar properties of sets in asymmetric spaces. Zbl 1506.46016
Alimov, Alexey R.; Tsar’kov, Igor’ G.
15
2022
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R.
14
2014
\(\mathring{B}\)-complete sets: approximative and structural properties. Zbl 1506.46017
Alimov, A. R.; Tsarkov, I. G.
13
2022
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G.
12
2022
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R.
9
2005
Monotone path-connectedness of Chebyshev sets in three-dimensional spaces. Zbl 1472.41019
Alimov, Alexey R.; Bednov, Borislav B.
8
2021
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R.
8
2017
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R.
7
2005
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu.
7
2013
Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\). Zbl 1464.46022
Alimov, A. R.; Tsar’kov, I. G.
7
2021
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I.
7
2001
Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns. Zbl 1489.41020
Alimov, A. R.; Tsar’kov, I. G.
7
2021
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V.
7
2018
Some classical problems of geometric approximation theory in asymmetric spaces. Zbl 1522.46012
Alimov, A. R.; Tsar’kov, I. G.
7
2022
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R.
6
2008
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R.
6
2012
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R.
6
2006
Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\). Zbl 1525.41007
Alimov, A. R.; Tsar’kov, I. G.
6
2022
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R.
5
2014
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R.
5
2001
Strict protosuns in asymmetric spaces of continuous functions. Zbl 1517.41013
Alimov, Alexey R.
5
2023
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R.
5
2019
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R.
4
2005
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
4
2019
Solarity of Chebyshev sets in dual spaces and uniquely remotal sets. Zbl 1470.41027
Alimov, A. R.
4
2021
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R.
4
2012
On finite-dimensional Banach spaces in which suns are connected. Zbl 1474.46027
Alimov, Alekseĭ Rostislavovich
4
2015
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R.
4
2018
Monotone path-connectedness of strict suns. Zbl 1521.41010
Alimov, A. R.
4
2022
Universality theorems for asymmetric spaces. Zbl 1528.46021
Alimov, A. R.
4
2023
Existence, uniqueness, and stability of best and near-best approximations. Zbl 1534.41017
Alimov, Alexey R.; Ryutin, Konstantin S.; Tsar’kov, Igor G.
4
2023
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R.
3
2014
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R.
3
2019
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R.
3
2018
Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. Zbl 1423.41050
Alimov, A. R.
3
2019
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R.
3
1997
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R.
3
2017
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R.
2
2004
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R.
2
1995
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R.
2
1996
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R.
2
2016
Compound renewal processes. Zbl 1519.60002
Borovkov, A. A.; Alimov, Alexey
1
2022
Examples of Chebyshev sets in matrix spaces. Zbl 0943.41015
Alimov, A. R.; Berens, H.
1
1999
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R.
1
1998
Chebyshev unions of planes, and their approximative and geometric properties. Zbl 07806805
Alimov, A. R.; Tsar’kov, I. G.
1
2024
Max-solar properties of sets in normed and asymmetrically normed spaces. Zbl 1515.41020
Alimov, Alexey R.; Tsar’kov, Igor’ G.
1
2023
Approximative solar properties of sets and local geometry of the unit sphere. Zbl 1537.41023
Alimov, A. R.
1
2023
Classical problems of rational approximation. Zbl 1528.41073
Alimov, A. R.; Tsar’kov, I. G.
1
2022
On local properties of spaces implying monotone path-connectedness of suns. Zbl 1535.41031
Alimov, A. R.
1
2023
Bounded contractibility of strict suns in three-dimensional spaces. Zbl 1452.46010
Alimov, A. R.
1
2020
Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\). Zbl 1452.41016
Alimov, A. R.
1
2020
Chebyshev unions of planes, and their approximative and geometric properties. Zbl 07806805
Alimov, A. R.; Tsar’kov, I. G.
1
2024
Strict protosuns in asymmetric spaces of continuous functions. Zbl 1517.41013
Alimov, Alexey R.
5
2023
Universality theorems for asymmetric spaces. Zbl 1528.46021
Alimov, A. R.
4
2023
Existence, uniqueness, and stability of best and near-best approximations. Zbl 1534.41017
Alimov, Alexey R.; Ryutin, Konstantin S.; Tsar’kov, Igor G.
4
2023
Max-solar properties of sets in normed and asymmetrically normed spaces. Zbl 1515.41020
Alimov, Alexey R.; Tsar’kov, Igor’ G.
1
2023
Approximative solar properties of sets and local geometry of the unit sphere. Zbl 1537.41023
Alimov, A. R.
1
2023
On local properties of spaces implying monotone path-connectedness of suns. Zbl 1535.41031
Alimov, A. R.
1
2023
Geometric approximation theory. Zbl 1494.41001
Alimov, Alexey R.; Tsar’kov, Igor’ G.
16
2022
Ball-complete sets and solar properties of sets in asymmetric spaces. Zbl 1506.46016
Alimov, Alexey R.; Tsar’kov, Igor’ G.
15
2022
\(\mathring{B}\)-complete sets: approximative and structural properties. Zbl 1506.46017
Alimov, A. R.; Tsarkov, I. G.
13
2022
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G.
12
2022
Some classical problems of geometric approximation theory in asymmetric spaces. Zbl 1522.46012
Alimov, A. R.; Tsar’kov, I. G.
7
2022
Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\). Zbl 1525.41007
Alimov, A. R.; Tsar’kov, I. G.
6
2022
Monotone path-connectedness of strict suns. Zbl 1521.41010
Alimov, A. R.
4
2022
Compound renewal processes. Zbl 1519.60002
Borovkov, A. A.; Alimov, Alexey
1
2022
Classical problems of rational approximation. Zbl 1528.41073
Alimov, A. R.; Tsar’kov, I. G.
1
2022
Monotone path-connectedness of Chebyshev sets in three-dimensional spaces. Zbl 1472.41019
Alimov, Alexey R.; Bednov, Borislav B.
8
2021
Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\). Zbl 1464.46022
Alimov, A. R.; Tsar’kov, I. G.
7
2021
Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns. Zbl 1489.41020
Alimov, A. R.; Tsar’kov, I. G.
7
2021
Solarity of Chebyshev sets in dual spaces and uniquely remotal sets. Zbl 1470.41027
Alimov, A. R.
4
2021
Bounded contractibility of strict suns in three-dimensional spaces. Zbl 1452.46010
Alimov, A. R.
1
2020
Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\). Zbl 1452.41016
Alimov, A. R.
1
2020
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G.
17
2019
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R.
5
2019
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
4
2019
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R.
3
2019
Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. Zbl 1423.41050
Alimov, A. R.
3
2019
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V.
7
2018
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R.
4
2018
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R.
3
2018
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R.
8
2017
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R.
3
2017
Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G.
73
2016
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G.
20
2016
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R.
2
2016
On finite-dimensional Banach spaces in which suns are connected. Zbl 1474.46027
Alimov, Alekseĭ Rostislavovich
4
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R.
20
2014
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R.
14
2014
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R.
5
2014
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R.
3
2014
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu.
7
2013
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R.
6
2012
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R.
4
2012
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R.
6
2008
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R.
26
2006
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R.
6
2006
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R.
9
2005
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R.
7
2005
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R.
4
2005
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R.
2
2004
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R.
16
2003
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R.
21
2001
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I.
7
2001
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R.
5
2001
Examples of Chebyshev sets in matrix spaces. Zbl 0943.41015
Alimov, A. R.; Berens, H.
1
1999
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R.
1
1998
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R.
3
1997
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R.
2
1996
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R.
2
1995
all top 5

Cited by 61 Authors

48 Tsar’kov, Igor’ Germanovich
41 Alimov, Alexey R.
4 Alegre, Carmen
4 Lebedev, Pavel Dmitrievich
4 Romaguera Bonilla, Salvador
4 Shchepin, Evgeniĭ Vital’evich
4 Shklyaev, Konstantin S.
3 Bednov, Borislav Borisovich
3 Ivanov, Grigorii E.
3 Lopushanski, Mariana S.
3 Martini, Horst
3 Sánchez-Pérez, Enrique Alfonso
3 Uspenskiĭ, Aleksandr Aleksandrovich
2 Balestro, Vitor
2 Butzer, Paul Leo
2 Dudov, Sergeĭ Ivanovich
2 García-Raffi, Luis M.
2 Jahn, Thomas
2 Richter, Christian
2 Stens, Rudolf L.
2 Valero, Oscar
1 Abramova, Veronika Valer’evna
1 Alimov, A. P.
1 Balashov, Maxim Viktorovich
1 Borodin, Petr A.
1 Borovkov, Aleksandr Alekseevich
1 Braichev, Georgiĭ Genrikhovich
1 Chelidze, George Z.
1 Cobzaş, Ştefan
1 Danelia, A. N.
1 Daptari, Soumitra
1 Ferrando, Irene
1 Ferrando, Juan Carlos
1 Graev, Mark Iosifovich
1 Kąkol, Jerzy
1 Khabibullin, Bulat Nurmievich
1 Kozko, Artem Ivanovich
1 Levis, Fabián Eduardo
1 Lin, Fucai
1 Lin, Shou
1 Liu, Chuan
1 López Pellicer, Manuel
1 Nath, Triloki
1 Nikonorov, Yurii Gennadyevich
1 Nikonorova, Yulia V.
1 Osiptsev, Mikhaĭl Anatol’evich
1 Palin, Vladimir Vladimirovich
1 Paul, Tanmoy
1 Polovinkin, Evgenii Sergeevich
1 Ridolfi, Claudia V.
1 Ryutin, Konstantin S.
1 Savinova, E. A.
1 Sherstyukov, Vladimir Borisovich
1 Stonyakin, Fedor Sergeevich
1 Suladze, M. Z.
1 Teixeira, Ralph Costa
1 Tikhomirov, Vladimir Mikhaĭlovich
1 Ushakov, Vladimir Nikolaevich
1 Veeramani, P.
1 Vershik, Anatoliĭ Moiseevich
1 Zabala, L.
all top 5

Cited in 38 Serials

22 Mathematical Notes
11 Russian Journal of Mathematical Physics
11 Journal of Mathematical Sciences (New York)
7 Sbornik: Mathematics
6 Izvestiya: Mathematics
5 Moscow University Mathematics Bulletin
5 Russian Mathematical Surveys
5 Journal of Approximation Theory
4 Lobachevskii Journal of Mathematics
3 Results in Mathematics
3 Topology and its Applications
3 Journal of Convex Analysis
3 Doklady Mathematics
3 Proceedings of the Steklov Institute of Mathematics
3 Set-Valued and Variational Analysis
2 Journal of Mathematical Analysis and Applications
2 Functional Analysis and its Applications
2 Siberian Mathematical Journal
2 Acta Mathematica Hungarica
2 The Journal of Analysis
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 Theory of Probability and its Applications
1 Fuzzy Sets and Systems
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Russian Mathematics
1 Abstract and Applied Analysis
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Acta Mathematica Sinica. English Series
1 Differential Equations
1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
1 Journal of Fixed Point Theory and Applications
1 Eurasian Mathematical Journal
1 Vestnik Rossiĭskikh Universitetov. Matematika
1 Sampling Theory, Signal Processing, and Data Analysis

Citations by Year