Edit Profile Garkavi, Alexandr L’vovich Compute Distance To: Compute Author ID: garkavi.alexandr-lvovich Published as: Garkavi, A.; Garkavi, A. L. External Links: MGP · Wikidata Documents Indexed: 61 Publications since 1959, including 1 Book Biographic References: 2 Publications all top 5 Co-Authors 46 single-authored 4 Gogolevskii, V. B. 3 Shmatkov, V. A. 2 Kaminskij, V. A. 2 Khavinson, Semën Yakovlevich 2 Medvedev, V. A. 2 Zamyatin, V. N. 1 Flomin, A. M. 1 Geĭdel’man, R. M. 1 Granov, G. S. all top 5 Serials 11 Mathematical Notes 6 Matematicheskie Zametki 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Matematicheskiĭ Sbornik. Novaya Seriya 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Siberian Mathematical Journal 3 Soviet Mathematics. Doklady 3 Mathematics of the USSR, Sbornik 3 Translations. Series 2. American Mathematical Society 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Automation and Remote Control 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Soviet Mathematics 1 East Journal on Approximations 1 Sbornik: Mathematics 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Izvestiya Akademii Nauk SSSR. Otdelenie Tekhnicheskikh Nauk. Ènergetika i Avtomatika all top 5 Fields 23 Approximations and expansions (41-XX) 17 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 36 Publications have been cited 206 times in 173 Documents Cited by ▼ Year ▼ Über das beste Netz und den besten Schnitt einer Menge in einem normierten Raum. Zbl 0108.10801Garkavi, A. L. 42 1962 The best possible net and the best possible cross-section of a set in a normed space. Zbl 0158.13602Garkavi, A. L. 41 1964 The Helly problem and best approximation in a space of continuous functions. Zbl 0166.10502Garkavi, A. L. 19 1967 Über beste Approximation durch Elemente unendlich-dimensionaler Unterräume einer Klasse. Zbl 0123.09104Garkavi, A. L. 13 1963 Almost Chebyshev systems of continuous functions. Zbl 0214.38002Garkavi, A. L. 9 1970 On Chebyshev and almost Chebyshev subspaces. Zbl 0214.38001Garkavi, A. L. 7 1970 Über ein Kriterium für ein Element der besten Approximation. Zbl 0138.37802Garkavi, A. L. 7 1964 On the Lame point and its generalizations in a normed space. Zbl 0318.42029Garkavi, A. L.; Shmatkov, V. A. 6 1976 Conditional Chebyshev center of a bounded set of continuous functions. Zbl 0335.41020Garkavi, A. L.; Zamyatin, V. N. 5 1976 Über den Lame-Punkt und seine Verallgemeinerungen in normierten Räumen. Zbl 0311.42023Garkavi, A. L.; Shmatkov, V. A. 5 1974 Das Hellysche Problem und die beste Approximation summierbarer Funktionen. Zbl 0217.44502Garkavi, A. L. 5 1971 Über das Cebysevsche Zentrum und die konvexe Hülle einer Menge. Zbl 0138.37801Garkavi, A. L. 5 1964 Über die Dimension von Polyedern optimaler Approximation für differenzierbare Funktionen. Zbl 0086.05205Garkavi, A. L. 5 1959 The conditional Chebyshev center of a compact set of continuous functions. Zbl 0295.41015Garkavi, A. L. 4 1974 On compacta allowing Chebyshev systems of measures. Zbl 0186.44802Garkavi, A. L. 4 1967 On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\). Zbl 0855.41021Garkavi, A. L.; Medvedev, V. A.; Havinson, S. Ya. 3 1995 Über die Eindeutigkeit des L-Momentenproblems. Zbl 0135.34502Garkavi, A. L. 3 1964 Uniqueness of the best approximation in mean of vector-valued functions. Zbl 0602.41026Garkavi, A. L. 2 1986 The Helly problem and best approximation of summable functions. Zbl 0238.46016Garkavi, A. L. 2 1971 Approximating properties of sets in some topological spaces. Zbl 0162.44103Garkavi, A. L.; Flomin, A. M. 2 1967 Über die gleichzeitige Annäherung einer periodischen Funktion und ihrer Ableitungen durch trigonometrische Polynome. Zbl 0127.29203Garkavi, A. 2 1960 On existence of best approximation of a function of two variables by sums of plane waves. Zbl 0916.41024Garkavi, A. L. 1 1997 Existence of the best possible uniform approximation of a function of several variables by a sum of functions of fewer variables. Zbl 0865.41031Garkavi, A. L.; Medvedev, V. A.; Khavinson, S. Ya. 1 1996 On the algebraic and geometric components of the Chebyshev rank of systems of vector-valued functions. Zbl 0732.41031Garkavi, A. L. 1 1990 On the Haar condition for systems of vector-valued functions. Zbl 0675.41038Garkavi, A. L. 1 1989 Estimating the norm of a conditional extension of a linear functional. Zbl 0548.46007Garkavi, A. L. 1 1983 Minimization of functionals on spaces with a measure and confidence centers of a set. Zbl 0461.28001Garkavi, A. L.; Kaminskij, V. A. 1 1980 Über die Methode der zyklischen Projektion in einem Problem der besten Approximation. Zbl 0443.41026Garkavi, A. L. 1 1980 Approximate centers and nets of a set in a linear normed space. Zbl 0486.41025Garkavi, A. L. 1 1977 Über ein Kriterium eines K-Systems von stetigen Funktionen. Zbl 0243.46040Garkavi, A. L. 1 1972 A theorem on the existence of an element of best approximation in spaces of type (F) with integral metric. Zbl 0234.46017Garkavi, A. L. 1 1971 The theory of best approximation in normed linear spaces. Zbl 0258.41019Garkavi, A. L. 1 1970 Approximative properties of subspaces with finite defect in the space of continuous functions. Zbl 0131.11701Garkavi, A. L. 1 1964 On Chebyshev and almost-Chebyshev subspaces. Zbl 0139.07001Garkavi, A. L. 1 1962 Allgemeine Verfeinerungssätze. Zbl 0109.33802Garkavi, A. L. 1 1962 Über das Cebysevsche Zentrum einer Menge in einem normierten Raum. Zbl 0138.37703Garkavi, A. L. 1 1961 On existence of best approximation of a function of two variables by sums of plane waves. Zbl 0916.41024Garkavi, A. L. 1 1997 Existence of the best possible uniform approximation of a function of several variables by a sum of functions of fewer variables. Zbl 0865.41031Garkavi, A. L.; Medvedev, V. A.; Khavinson, S. Ya. 1 1996 On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\). Zbl 0855.41021Garkavi, A. L.; Medvedev, V. A.; Havinson, S. Ya. 3 1995 On the algebraic and geometric components of the Chebyshev rank of systems of vector-valued functions. Zbl 0732.41031Garkavi, A. L. 1 1990 On the Haar condition for systems of vector-valued functions. Zbl 0675.41038Garkavi, A. L. 1 1989 Uniqueness of the best approximation in mean of vector-valued functions. Zbl 0602.41026Garkavi, A. L. 2 1986 Estimating the norm of a conditional extension of a linear functional. Zbl 0548.46007Garkavi, A. L. 1 1983 Minimization of functionals on spaces with a measure and confidence centers of a set. Zbl 0461.28001Garkavi, A. L.; Kaminskij, V. A. 1 1980 Über die Methode der zyklischen Projektion in einem Problem der besten Approximation. Zbl 0443.41026Garkavi, A. L. 1 1980 Approximate centers and nets of a set in a linear normed space. Zbl 0486.41025Garkavi, A. L. 1 1977 On the Lame point and its generalizations in a normed space. Zbl 0318.42029Garkavi, A. L.; Shmatkov, V. A. 6 1976 Conditional Chebyshev center of a bounded set of continuous functions. Zbl 0335.41020Garkavi, A. L.; Zamyatin, V. N. 5 1976 Über den Lame-Punkt und seine Verallgemeinerungen in normierten Räumen. Zbl 0311.42023Garkavi, A. L.; Shmatkov, V. A. 5 1974 The conditional Chebyshev center of a compact set of continuous functions. Zbl 0295.41015Garkavi, A. L. 4 1974 Über ein Kriterium eines K-Systems von stetigen Funktionen. Zbl 0243.46040Garkavi, A. L. 1 1972 Das Hellysche Problem und die beste Approximation summierbarer Funktionen. Zbl 0217.44502Garkavi, A. L. 5 1971 The Helly problem and best approximation of summable functions. Zbl 0238.46016Garkavi, A. L. 2 1971 A theorem on the existence of an element of best approximation in spaces of type (F) with integral metric. Zbl 0234.46017Garkavi, A. L. 1 1971 Almost Chebyshev systems of continuous functions. Zbl 0214.38002Garkavi, A. L. 9 1970 On Chebyshev and almost Chebyshev subspaces. Zbl 0214.38001Garkavi, A. L. 7 1970 The theory of best approximation in normed linear spaces. Zbl 0258.41019Garkavi, A. L. 1 1970 The Helly problem and best approximation in a space of continuous functions. Zbl 0166.10502Garkavi, A. L. 19 1967 On compacta allowing Chebyshev systems of measures. Zbl 0186.44802Garkavi, A. L. 4 1967 Approximating properties of sets in some topological spaces. Zbl 0162.44103Garkavi, A. L.; Flomin, A. M. 2 1967 The best possible net and the best possible cross-section of a set in a normed space. Zbl 0158.13602Garkavi, A. L. 41 1964 Über ein Kriterium für ein Element der besten Approximation. Zbl 0138.37802Garkavi, A. L. 7 1964 Über das Cebysevsche Zentrum und die konvexe Hülle einer Menge. Zbl 0138.37801Garkavi, A. L. 5 1964 Über die Eindeutigkeit des L-Momentenproblems. Zbl 0135.34502Garkavi, A. L. 3 1964 Approximative properties of subspaces with finite defect in the space of continuous functions. Zbl 0131.11701Garkavi, A. L. 1 1964 Über beste Approximation durch Elemente unendlich-dimensionaler Unterräume einer Klasse. Zbl 0123.09104Garkavi, A. L. 13 1963 Über das beste Netz und den besten Schnitt einer Menge in einem normierten Raum. Zbl 0108.10801Garkavi, A. L. 42 1962 On Chebyshev and almost-Chebyshev subspaces. Zbl 0139.07001Garkavi, A. L. 1 1962 Allgemeine Verfeinerungssätze. Zbl 0109.33802Garkavi, A. L. 1 1962 Über das Cebysevsche Zentrum einer Menge in einem normierten Raum. Zbl 0138.37703Garkavi, A. L. 1 1961 Über die gleichzeitige Annäherung einer periodischen Funktion und ihrer Ableitungen durch trigonometrische Polynome. Zbl 0127.29203Garkavi, A. 2 1960 Über die Dimension von Polyedern optimaler Approximation für differenzierbare Funktionen. Zbl 0086.05205Garkavi, A. L. 5 1959 all cited Publications top 5 cited Publications all top 5 Cited by 176 Authors 12 Vlasov, L. P. 7 Garkavi, Alexandr L’vovich 6 Li, Chong 5 Indumathi, V. 5 Lebedev, Pavel Dmitrievich 4 Balaganskij, V. S. 4 Mach, Jaroslav 4 Tsar’kov, Igor’ Germanovich 3 Alimov, Alexey R. 3 Amir, Dan 3 Brosowski, Bruno 3 Deutsch, Frank 3 Kaminskij, V. A. 3 Khamsi, Mohamed Amine 3 Kozłowski, Wojciech M. 3 Matrán, Carlos 3 Pakhomova, A. S. 3 Schmidt, Darrell 3 Ushakov, Vladimir Nikolaevich 3 Veena Sangeetha, M. 3 Veeramani, P. 2 Bednov, Borislav Borisovich 2 Belobrov, P. K. 2 Blatter, Jörg 2 Chalmers, Bruce Longworthy 2 Chesnokova, Kseniya V. 2 Cuesta, Juan Antonio 2 Fernandez, Manuel Jose 2 Godefroy, Gilles 2 Godini, Gliceria 2 Huotari, Robert 2 Ismailov, Vugar E. 2 Lau, Kasing 2 Lim, Teck-Cheong 2 Novak, Erich 2 Oshman, E. V. 2 Pai, Devidas V. 2 Pakhrou, Tijani 2 Palacios, Isidro 2 Papini, Pier Luigi 2 Prophet, Michael P. 2 Rodriguez-Chia, Antonio M. 2 Rozema, Edward R. 2 Smarzewski, Ryszard 2 Smith, Mark A. 2 Sosov, Evgenii N. 2 Ustinov, G. M. 2 Veselý, Libor 2 Wang, Xinghua 2 Wiśnicki, Andrzej 2 Wośko, Jacek 1 Angelos, James R. 1 Arestov, Vitaliĭ Vladimirovich 1 Asgarova, Aida Kh. 1 Ault, David A. 1 Bachar, Mostafa 1 Bartelt, Martin W. 1 Beer, Gerald Alan 1 Bin Dehaish, Buthinah Abdullatif 1 Borodin, Petr A. 1 Borwein, Jonathan Michael 1 Bounkhel, Messaoud 1 Budzyńska, Monika 1 Bure, Vladimir M. 1 Chen, Guanrong 1 Chen, Shutao 1 Cheney, Elliott Ward jun. 1 Chiacchio, Ary Orozimbo 1 Cuesta-Albertos, Juan Antonio 1 DeVore, Ronald A. 1 Dhompongsa, Sompong 1 Druzhinin, Yu. Yu. 1 Ershov, Aleksandr Anatol’evich 1 Espejo miranda, I. 1 Espínola García, Rafael 1 Fakhoury, Hicham 1 Fedorov, V. M. 1 Ferguson, Le Baron Otis 1 Fischer, Thomas 1 Franchetti, Carlo 1 Franco, C. Valero 1 Friedman, Susan L. 1 Gabeleh, Moosa 1 Gordaliza, Alfonso 1 Grigoryan, Yu. I. 1 Gritzmann, Peter 1 Guerreiro, Claudia S. 1 Gulevich, N. M. 1 Gusev, A. I. 1 He, Jinsu 1 Helfrich, Hans-Peter 1 Henze, D. 1 Holmes, Richard B. 1 Ivanov, Aleksandr Olegovich 1 Ivan’shin, Pëtr Nikolaevich 1 Jayanarayanan, C. R. 1 Kaczmarek, Radosław 1 Kaczor, Wiesława J. 1 Kaewkhao, Attapol 1 Kamuntavičius, D. ...and 76 more Authors all top 5 Cited in 53 Serials 41 Journal of Approximation Theory 40 Mathematical Notes 10 Journal of Mathematical Analysis and Applications 5 Numerical Functional Analysis and Optimization 5 Journal of Mathematical Sciences (New York) 4 Bulletin of the Australian Mathematical Society 4 Proceedings of the Steklov Institute of Mathematics 3 Moscow University Mathematics Bulletin 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 Russian Mathematics 2 Computing 2 Czechoslovak Mathematical Journal 2 Statistics & Probability Letters 2 Journal of Complexity 2 Automation and Remote Control 2 Top 2 Sbornik: Mathematics 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Computers & Mathematics with Applications 1 Lithuanian Mathematical Journal 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Archiv der Mathematik 1 Calcolo 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Probability Theory and Related Fields 1 Discrete & Computational Geometry 1 Science in China. Series A 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Programming. Series A. Series B 1 Chinese Science Bulletin 1 Set-Valued Analysis 1 Journal of Convex Analysis 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Fixed Point Theory and Applications 1 Bulletin of the American Mathematical Society 1 Asian-European Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 21 Fields 105 Approximations and expansions (41-XX) 68 Functional analysis (46-XX) 20 Operator theory (47-XX) 10 Operations research, mathematical programming (90-XX) 9 Convex and discrete geometry (52-XX) 9 General topology (54-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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