Edit Profile Alimov, Alexey R. Compute Distance To: Compute Author ID: alimov.alexey-r Published as: Alimov, A.; Alimov, A. R.; Alimov, Alekseĭ R.; Alimov, Alekseĭ Rostislavovich; Alimov, Alexey; Alimov, Alexey R. External Links: MGP · Math-Net.Ru · Wikidata · ORCID Documents Indexed: 46 Publications since 1995 Reviewing Activity: 286 Reviews all top 5 Co-Authors 34 single-authored 3 Shchepin, Evgenij V. 3 Tsar’kov, Igor’ Germanovich 1 Berdysheva, Elena E. 1 Berens, Hubert Anton 1 Bukhzhalev, Evgeny E. 1 Butzer, Paul Leo 1 Dahmen, Wolfgang A. 1 DeVore, Ron 1 Filbir, Frank-Dieter 1 Jetter, Kurt 1 Karlov, M. I. 1 Mhaskar, Hrushikesh N. 1 Nevai, Paul G. 1 Protasov, Vladimir Yu. 1 Sauer, Tomas 1 Schumaker, Larry L. 1 Sommer, Manfred 1 Strauss, Hans 1 Xu, Yuan 1 zu Castell, Wolfgang all top 5 Serials 5 Mathematical Notes 5 Russian Mathematical Surveys 5 Journal of Mathematical Sciences (New York) 3 Journal of Approximation Theory 3 East Journal on Approximations 3 Izvestiya: Mathematics 3 Eurasian Mathematical Journal 2 Functional Analysis and its Applications 2 Sbornik: Mathematics 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Moscow University Mathematics Bulletin 1 Theory of Probability and its Applications 1 Siberian Mathematical Journal 1 Turkish Journal of Mathematics 1 Journal of Convex Analysis 1 Doklady Mathematics 1 Differential Equations 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis all top 5 Fields 33 Approximations and expansions (41-XX) 26 Functional analysis (46-XX) 8 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 156 times in 57 Documents Cited by ▼ Year ▼ Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031Alimov, A. R.; Tsar’kov, I. G. 28 2016 Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011Alimov, A. R. 15 2006 Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012Alimov, Alexey R.; Tsar’kov, I. G. 13 2016 On the structure of the complements of Chebyshev sets. Zbl 1099.41501Alimov, A. R. 10 2001 Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018Alimov, A. R. 9 2014 Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039Alimov, Alexey R. 5 2017 Separation of convex sets by extreme hyperplanes. Zbl 1280.52022Alimov, A. R.; Protasov, V. Yu. 5 2013 Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009Alimov, A. R. 5 2005 The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027Alimov, A. R. 5 2005 A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503Alimov, A. R. 5 2001 Sets with external Chebyshev layer. Zbl 0988.41019Alimov, A. R.; Karlov, M. I. 5 2001 Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024Alimov, A. R. 4 2014 A monotone path connected Chebyshev set is a sun. Zbl 1285.41018Alimov, A. R. 4 2012 Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018Alimov, A. R. 4 2008 Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003Alimov, A. R. 4 2006 Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. 3 2018 Local solarity of suns in normed linear spaces. Zbl 1314.46018Alimov, A. R. 3 2014 Chebyshev compact sets in the plane. Zbl 0952.41016Alimov, A. R. 3 1997 Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028Alimov, A. R.; Tsar’kov, I. G. 2 2019 Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041Alimov, Alekseĭ R. 2 2018 On approximative properties of locally Chebyshev sets. Zbl 1405.41017Alimov, Alexey R. 2 2018 A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014Alimov, Alexey R. 2 2017 Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009Alimov, A. R. 2 2012 Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008Alimov, A. R. 2 2005 Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056Alimov, Alexey R. 2 2004 The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067Alimov, A. R. 2 2003 Chebyshev set’s complement. Zbl 0866.46006Alimov, A. R. 2 1996 A number of connected components of sun’s complement. Zbl 0860.46007Alimov, A. R. 2 1995 Singularities of solutions of the eikonal equation. Zbl 1439.35498Alimov, A. R. 1 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 1423.41050Alimov, A. R. 1 2019 Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011Alimov, Alexey R. 1 2016 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, 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 1 2015 The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006Alimov, A. R. 1 2014 Solstice property for a system of 2-spaces. Zbl 0914.46011Alimov, A. R. 1 1998 Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028Alimov, A. R.; Tsar’kov, I. G. 2 2019 Singularities of solutions of the eikonal equation. Zbl 1439.35498Alimov, A. R. 1 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 1423.41050Alimov, A. R. 1 2019 Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. 3 2018 Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041Alimov, Alekseĭ R. 2 2018 On approximative properties of locally Chebyshev sets. Zbl 1405.41017Alimov, Alexey R. 2 2018 Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039Alimov, Alexey R. 5 2017 A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014Alimov, Alexey R. 2 2017 Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031Alimov, A. R.; Tsar’kov, I. G. 28 2016 Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012Alimov, Alexey R.; Tsar’kov, I. G. 13 2016 Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011Alimov, Alexey R. 1 2016 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, 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 1 2015 Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018Alimov, A. R. 9 2014 Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024Alimov, A. R. 4 2014 Local solarity of suns in normed linear spaces. Zbl 1314.46018Alimov, A. R. 3 2014 The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006Alimov, A. R. 1 2014 Separation of convex sets by extreme hyperplanes. Zbl 1280.52022Alimov, A. R.; Protasov, V. Yu. 5 2013 A monotone path connected Chebyshev set is a sun. Zbl 1285.41018Alimov, A. R. 4 2012 Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009Alimov, A. R. 2 2012 Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018Alimov, A. R. 4 2008 Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011Alimov, A. R. 15 2006 Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003Alimov, A. R. 4 2006 Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009Alimov, A. R. 5 2005 The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027Alimov, A. R. 5 2005 Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008Alimov, A. R. 2 2005 Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056Alimov, Alexey R. 2 2004 The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067Alimov, A. R. 2 2003 On the structure of the complements of Chebyshev sets. Zbl 1099.41501Alimov, A. R. 10 2001 A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503Alimov, A. R. 5 2001 Sets with external Chebyshev layer. Zbl 0988.41019Alimov, A. R.; Karlov, M. I. 5 2001 Solstice property for a system of 2-spaces. Zbl 0914.46011Alimov, A. R. 1 1998 Chebyshev compact sets in the plane. Zbl 0952.41016Alimov, A. R. 3 1997 Chebyshev set’s complement. Zbl 0866.46006Alimov, A. R. 2 1996 A number of connected components of sun’s complement. Zbl 0860.46007Alimov, A. R. 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 32 Authors 20 Alimov, Alexey R. 17 Tsar’kov, Igor’ Germanovich 4 Alegre, Carmen 4 Romaguera Bonilla, Salvador 4 Shchepin, Evgenij V. 3 Ivanov, Grigorii E. 3 Sánchez-Pérez, Enrique Alfonso 2 Dudov, Sergeĭ Ivanovich 2 García-Raffi, Luis M. 2 Lopushanski, Mariana S. 2 Valero, Oscar 1 Abramova, Veronika Valer’evna 1 Aliakbari, Massumeh 1 Alimov, A. P. 1 Butzer, Paul Leo 1 Cobzaş, Ştefan 1 Ferrando, Irene 1 Graev, Mark Iosifovich 1 Kozko, A. I. 1 Lin, Fucai 1 Lin, Shou 1 Liu, Chuan 1 Osiptsev, Mikhaĭl Anatol’evich 1 Palin, Vladimir Vladimirovich 1 Polovinkin, Evgenii Sergeevich 1 Pourmahdian, Massoud 1 Protasov, Vladimir Yu. 1 Shklyaev, Konstantin S. 1 Stens, Rudolf L. 1 Vasil’eva, Anastasiya Andreevna 1 Veeramani, P. 1 Vershik, Anatoliĭ Moiseevich all top 5 Cited in 25 Serials 11 Journal of Mathematical Sciences (New York) 8 Mathematical Notes 4 Sbornik: Mathematics 3 Russian Mathematical Surveys 3 Topology and its Applications 2 Moscow University Mathematics Bulletin 2 Functional Analysis and its Applications 2 Journal of Approximation Theory 2 Acta Mathematica Hungarica 2 Russian Journal of Mathematical Physics 2 Izvestiya: Mathematics 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Fuzzy Sets and Systems 1 Siberian Mathematical Journal 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Russian Mathematics 1 Journal of Convex Analysis 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Eurasian Mathematical Journal all top 5 Cited in 19 Fields 35 Approximations and expansions (41-XX) 27 Functional analysis (46-XX) 21 General topology (54-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 4 Convex and discrete geometry (52-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline