Edit Profile (opens in new tab) Tikhomirov, Vladimir Mikhaĭlovich Co-Author Distance Author ID: tikhomirov.vladimir-m Published as: Tikhomirov, V. M.; Tikhomirov, Vladimir M.; Tikhomirov, V.; Tikhomirov, Vladimir; Tichomirow, W. M.; Tihomirov, V. M.; Tikhomirov, V. M more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 189 Publications since 1957, including 16 Books 9 Contributions as Editor · 4 Further Contributions Biographic References: 7 Publications Co-Authors: 254 Co-Authors with 118 Joint Publications 6,085 Co-Co-Authors all top 5 Co-Authors 84 single-authored 21 Magaril-Il’yaev, Gregoriĭ Geogrievich 13 Kolmogorov, Andreĭ Nikolaevich 11 Ioffe, Alexander Davidovich 9 Buslaev, Aleksandr Pavlovich 7 Maslov, Viktor Pavlovich 7 Sinaĭ, Yakov Grigor’evich 6 Demidov, Sergeĭ Sergeevich 6 Demidovich, Vasiliĭ Borisovich 6 Kozlov, Valeriĭ Vasil’evich 6 Oleĭnik, Ol’ga Arsen’evna 6 Osipenko, Konstantin Yur’evich 5 Sadovnichiĭ, Viktor Antonovich 4 Chubarikov, Vladimir Nikolaevich 4 Gel’fand, Israil’ Moiseevich 4 Kochurov, Aleksandr Savel’evich 4 Lokutsievskij, O. V. 4 Novikov, Sergeĭ Petrovich 4 Volevich, Leonid Romanovich 3 Afendikov, Andrei Leonidovich 3 Agranovich, Mikhail Semënovich 3 Alekseev, Vladimir Mikhaĭlovich 3 Anosov, Dmitriĭ Viktorovich 3 Arnol’d, Vladimir Igorevich 3 Galeev, Eh. M. 3 Ilyashenko, Yulij Sergeevich 3 Kusraev, Anatoly Georgievich 3 Osipov, Yuriĭ Sergeevich 3 Semënov, Alekseĭ L’vovich 3 Shubin, Mikhail Aleksandrovich 3 Smirnova, Galina Sergeevna 3 Ul’yanov, Pëtr Lavrent’evich 3 Voskresenskij, G. P. 3 Zabrodin, Aleksei Valerievich 3 Zelikin, Mikhail Il’ich 2 Adyan, Sergeĭ Ivanovich 2 Aleksandrov, Pavel Sergeevich 2 Aptekarev, Alexander Ivanovich 2 Arutyunov, Aram Vladimirovic 2 Babadzhanov, S. B. 2 Babin, Anatoli V. 2 Bogachev, Vladimir Igorevich 2 Brinkhuis, Jan 2 Chepyzhov, Vladimir V. 2 Demidov, Alexandre Sergeevich 2 Dinh Dũng 2 Dubinskiĭ, Yuliĭ Andreevich 2 Fomin, Sergeĭ Vasil’evich 2 Fursikov, Andreĭ Vladimirovich 2 Gindikin, Simon Grigorevich 2 Gorin, Evgeniĭ Alekseevich 2 Haltar, Damba 2 Kashin, Boris Sergeevich 2 Khrennikov, Andreĭ Yur’evich 2 Komech, Alexander Ilich 2 Kuksin, Sergeĭ B. 2 Kutateladze, Semën Samsonovich 2 Levin, A. L. 2 Maikov, E. V. 2 Parshin, Alekseĭ Nikolaevich 2 Petrova, Svetlana Sergeevna 2 Radkevich, Evgeniĭ Vladimirovich 2 Reshetnyak, Yuriĭ Grigor’evich 2 Shafarevich, Igor’ Rostislavovich 2 Shavgulidze, Eugene T. 2 Shiryaev, Al’bert Nikolaevich 2 Shkalikov, Andreĭ Andreevich 2 Shnirelman, Alexander I. 2 Smolyanov, Oleg Georgievich 2 Stëpin, Anatoliĭ Mikhaĭlovich 2 Tokareva, T. A. 2 Tumarkin, Lev Abramovich 2 Vasil’ev, Viktor Anatol’evich 2 Vershik, Anatoliĭ Moiseevich 2 Volovich, Igor’ Vasil’evich 2 Vvedenskaya, Nikita Dmitrievna 2 Yakobson, M. V. 1 Abramov, Aleksandr Mikhailovich 1 Afanas’eva, Larisa Grigor’evna 1 Aĭvazyan, Sergeĭ Artem’evich 1 Alkhutov, Yuriy Alexandrovich 1 Andreev, Nikolaĭ Nikolaevich 1 Arkhangel’skiĭ, Aleksandr Vladimirovich 1 Arlazarov, Vladimir L’vovich 1 Ataullakhanov, Fazoil I. 1 Avakov, Evgeniĭ Rachievich 1 Bakhvalov, Nikolaĭ Sergeevich 1 Balabaev, N. K. 1 Balashov, Maxim Viktorovich 1 Bashmakova, Izabella Grigor’evna 1 Beklemishev, Lev D. 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Besov, Oleg Vladimirovich 1 Biktashev, Vadim N. 1 Biktasheva, I. V. 1 Blagoveshchenskiĭ, Yuriĭ Nikolaevich 1 Bobylev, Nikolaĭ Antonovich 1 Bodneva, Valeriya L. 1 Bogolyubov, Alekseĭ Nikolaevich 1 Bolibrukh, Andreĭ Andreevich 1 Boltyanskij, Vladimir Grigor’evich ...and 157 more Co-Authors all top 5 Serials 37 Russian Mathematical Surveys 11 Uspekhi Matematicheskikh Nauk [N. S.] 9 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 5 Soviet Mathematics. Doklady 4 Mathematical Notes 4 Istoriko-Matematicheskie Issledovaniya 4 Voprosy Istorii Estestvoznaniya i Tekhniki 4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Moscow University Mathematics Bulletin 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 2 Quantum (Washington, DC) 2 Control and Cybernetics 2 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Journal of Approximation Theory 2 Transactions of the Moscow Mathematical Society 2 Journal of Complexity 2 Historia Mathematica 2 Serdica 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 East Journal on Approximations 2 Sbornik: Mathematics 2 Fundamental’naya i Prikladnaya Matematika 2 Doklady Mathematics 2 Moscow Mathematical Journal 2 Translations of Mathematical Monographs 1 American Mathematical Monthly 1 Analysis Mathematica 1 Doklady Akademii Nauk SSSR 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Matematicheskie Zametki 1 Problems of Information Transmission 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Siberian Mathematical Journal 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Selecta Mathematica Sovietica 1 PLISKA. Studia Mathematica Bulgarica 1 Advances in Mathematics (Beijing) 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Cybernetics and Systems Analysis 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Computational Methods and Function Theory 1 International Journal of Fracture 1 Chebyshevskiĭ Sbornik 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematics and Its Applications. Soviet Series 1 Mathematical World 1 Studies in Mathematics and its Applications 1 Teubner-Texte zur Mathematik 1 Translations. Series 2. American Mathematical Society 1 Mongolian Mathematical Journal 1 Eurasian Mathematical Journal 1 Springer Collected Works in Mathematics 1 Princeton Series in Applied Mathematics 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Fields 86 History and biography (01-XX) 45 Approximations and expansions (41-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 23 Operations research, mathematical programming (90-XX) 17 Functional analysis (46-XX) 10 Real functions (26-XX) 9 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 3 Geometry (51-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 1,555 times in 1,426 Documents Cited by ▼ Year ▼ Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051 Ioffe, A. D.; Tihomirov, V. M. 374 1979 Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002 Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 215 1979 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503 Kolmogorov, A. N.; Tikhomirov, V. M. 170 1959 Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001 Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 100 1987 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703 Kolmogorov, A. N.; Tikhomirov, V. M. 78 1959 Duality of convex functions and extremum problems. Zbl 0191.13101 Ioffe, A. D.; Tikhomirov, V. M. 62 1968 Diameters of sets in functional spaces and the theory of best approximations. Zbl 0097.09103 Tikhomirov, V. M. 62 1960 Extension of variational problems. Zbl 0194.13902 Ioffe, A. D.; Tikhomirov, V. M. 51 1968 Best methods of approximation and interpolation of differentiable functions in the space \(C_{[-1,1]}\). Zbl 0204.13301 Tikhomirov, V. M. 46 1969 Convex analysis: theory and applications. Transl. from the Russian by Dmitry Chibisov. Zbl 1041.49001 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 32 2003 Theory of approximations. Zbl 0655.41002 Tikhomirov, V. M. 27 1987 Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145 DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M. 25 1993 Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001 Ioffe, A. D.; Tikhomirov, V. M. 17 1979 Spectra of nonlinear differential equations and diameters of Sobolev classes. Zbl 0718.34113 Buslaev, A. P.; Tikhomirov, V. M. 15 1990 Some problems of approximation theory. Zbl 0156.13602 Tikhomirov, V. M. 15 1965 Stories about maxima and minima. Transl. from the Russian by Abe Shenitzer. Zbl 0746.49001 Tikhomirov, V. M. 15 1990 Geometry. Transl. from the Russian by O. V. Sipacheva. Transl. edited by A. B. Sossinski. Zbl 0977.51001 Prasolov, V. V.; Tikhomirov, V. M. 14 2001 Theory of extremal problems and approximation theory. Zbl 0728.41016 Tikhomirov, V. M. 14 1990 Selected works of A. N. Kolmogorov. Volume I: Mathematics and mechanics. Ed. by V. M. Tikhomirov. Transl. from the Russian by V. M. Volosov. Zbl 0732.01045 Kolmogorov, A. N. 14 1991 Lagrange’s principle in extremum problems with constraints. Zbl 1275.49041 Avakov, E. R.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 14 2013 Convex analysis. Zbl 0781.49001 Tikhomirov, V. M. 12 1986 Kolmogorov-type inequalities for derivatives. Zbl 0911.26009 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1997 On the Kolmogorov inequality for fractional derivatives on the half-line. Zbl 0481.46017 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1981 Fundamental principles of the theory of extremal problems. Transl. from the Russian by Bernd Luderer. Licensed ed. Zbl 0595.49001 Tikhomirov, Vladimir M. 10 1986 Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042 Ioffe, A. D.; Tikhomirov, V. M. 9 1974 A short course on the theory of extremal problems. Textbook. (Kratkij kurs teorii ehkstremal’nykh zadach. Uchebnoe posobie.) Zbl 0697.49001 Galeev, Eh. M.; Tikhomirov, V. M. 9 1989 Some remarks on variational principles. Zbl 0928.49013 Ioffe, A. D.; Tikhomirov, V. M. 8 1997 Some questions of nonlinear analysis and approximation theory. Zbl 0595.34018 Buslaev, A. P.; Tikhomirov, V. M. 8 1985 Some remarks on relative diameters. Zbl 0701.41036 Tikhomirov, V. M. 8 1989 Optimization: Insights and applications. Zbl 1093.49002 Brinkhuis, Jan; Tikhomirov, Vladimir 8 2005 Inequalities for derivatives in the multidimensional case. Zbl 0499.49001 Buslaev’, A. P.; Tikhomirov, V. M. 8 1979 Elements of numerical analysis. With a preface by V. M. Tikhomirov. (Nachala chislennogo analiza.) Zbl 0949.65001 Lokutsievskij, O. V.; Gavrikov, M. B. 7 1995 On the \(\varepsilon\)- entropy of some classes of analytical functions. Zbl 0081.06705 Tikhomirov, V. M. 7 1957 Indefinite knowledge about an object and accuracy of its recovery methods. Zbl 1074.41021 Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 6 2003 Spectra on nonlinear differential equations and widths of Sobolev classes. Zbl 0776.34065 Buslaev, A. P.; Tikhomirov, V. M. 5 1992 Eine Bemerkung über \(n\)-dimensionale Durchmesser von Mengen in Banachräumen. Zbl 0141.31001 Tikhomirov, V. M. 5 1965 On minimization of integral functionals. Zbl 0193.07603 Ioffe, A. D.; Tikhomirov, V. M. 5 1969 Newton’s method, differential equations, and the Lagrangian principle for necessary extremum conditions. Zbl 1165.49023 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 5 2008 Widths and entropy. Zbl 0584.94007 Tikhomirov, V. M. 4 1983 Kolmogorov’s work on \(\epsilon\)-entropy of functional classes and the superposition of functions. Zbl 0149.37902 Tikhomirov, V. M. 4 1963 Über die Durchmesser einer Funktionenklasse im \(L_ p\)-Raum \((p\geq 1)\). Zbl 0166.10802 Tikhomirov, V. M.; Babadzhanov, S. B. 4 1967 On extremal subspaces for classes of functions defined by kernels that do not increase oscillation. Zbl 0913.41017 Tikhomirov, V. M. 3 1997 Approximation theory. Zbl 0780.41001 Tikhomirov, V. M. 3 1986 Approximation theory in the twentieth century. Zbl 1082.01012 Tikhomirov, V. M. 3 2006 Über geometrische Charakteristiken der Einbettung von \(W^ \alpha_ p\)-Klassen in \(C\). Zbl 0156.36801 Solomyak, M. Z.; Tikhomirov, V. M. 3 1967 Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202 Ioffe, A. D.; Tikhomirov, V. M. 3 1968 Optimal recovery and extremum theory. Zbl 1025.41014 Magaril-Il’yaev, Gregorij G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 3 2002 Moscow Mathematics 1950–1975. Zbl 0961.01032 Tikhomirov, Vladimir M. 2 2000 Theory of extremum and extremal problems of classical analysis. Zbl 0988.49001 Tikhomirov, V. M. 2 1999 On exact values of \(n\)-widths in a Hilbert space. Zbl 0976.41025 Magaril-Il’yaev, Georgii G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 2 2001 The Moscow Mathematical Society in the development of mathematics in Russia. Zbl 1325.01029 Demidov, S. S.; Tikhomirov, V. M.; Tokareva, T. A. 2 2015 In memoriam Adolph Andrei Pavlovich Yushkevich (1906-1993). Zbl 0829.01027 Bashmakova, Isabella; Bogolyubov, A. N.; Demidov, S. S.; Gnedenko, B. V.; Knobloch, E.; Matvievskaya, Galina; Rowe, D. E.; Rozenfeld, B. A.; Sheynin, O. B.; Tikhomirov, V. M. 2 1995 The evolution of methods of convex optimization. Zbl 0864.90100 Tikhomirov, V. M. 2 1996 Approximation of analytic functions by rational functions. Zbl 0184.29902 Levin, A. L.; Tikhomirov, V. M. 2 1967 Existence of extremal functions in inequalities for derivatives. Zbl 0527.26007 Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 2 1983 The Lagrange principle and problems of optimal control. Part 2. Textbook. (Printsip Lagranzha i zadachi optimal’nogo upravleniya. Chast’ 2. Uchebnoe posobie). Zbl 0541.49002 Tikhomirov, V. M. 2 1982 Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005 Volevich, L. R.; Voskresenskiĭ, G. P.; Zabrodin, A. V.; Kolmogorov, A. N.; Oleĭnik, O. A.; Tikhomirov, V. M. 1 1980 On approximate characteristics of smooth functions of several variables. Zbl 0465.41004 Tikhomirov, V. M. 1 1980 Pavel Samuilovich Urysohn (1898-1924). Zbl 0930.01031 Arkhangelskij, A. V.; Tikhomirov, V. M. 1 1998 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011 Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 A remark on Lavrentiev phenomenon. Zbl 0869.49001 Tikhomirov, V. M. 1 1994 The phenomenon of the Moscow Mathematical School. Zbl 0955.01010 Tikhomirov, Vladimir 1 1998 Principle of extremum and application to some problems in analysis. Zbl 0948.49011 Tikhomirov, V. M. 1 1998 Phenomenon extraordinaire. A book about Kolmogorov. Compiled by N. Kh. Rozov. (Yavlenie chrezvychajnoe. Kniga o Kolmogorove.) Zbl 1055.01500 1 1999 The smoothly approximately convex principle and its applications. Zbl 1299.49026 Tikhomirov, V. M. 1 2005 A. N. Kolmogorov and approximation theory. Zbl 0675.01018 Tikhomirov, V. M. 1 1989 On the opinions of specialists in cybernetics, literature, philosophy. (Publication and comment of V. M. Tikhomirov). Zbl 0903.01021 Kolmogorov, A. N. 1 1995 Harmonics and splines as optimal tools for approximation and recovery. Zbl 0896.41013 Tikhomirov, V. M. 1 1995 Extremal problems for linear functionals on Chebyshev spaces. Zbl 1077.41020 Demidovich, V. B.; Magaril-Ilyaev, G. G.; Tikhomirov, V. M. 1 2005 Optimal reconstruction and extremum theory. Zbl 1091.41500 Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 1 2001 Erweiterung von Variationsproblemen. Zbl 0169.13903 Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Duality in problems of the calculus of variations. Zbl 0172.15202 Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Über die beste lineare Approximation von Funktionen, die aus einem gegebenen Kontinuum in ein gegebenes Gebiet analytisch fortsetzbar sind. Zbl 0184.10001 Erohin, V. D. 1 1968 Extremal problems in approximation theory and diameters of smooth functions. Zbl 0552.41015 Tikhomirov, V. M. 1 1977 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011 Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolmogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 1981 On the existence of extremal functions in inequalities for derivatives. Zbl 0526.26006 Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 1 1982 Lagrange principle and necessary conditions. Zbl 1263.90096 Tikhomirov, V. 1 2009 A. N. Kolmogorov and approximation theory. Zbl 0682.01003 Tikhomirov, V. M. 1 1989 Leonid Kantorovich and approximation theory. Zbl 1484.41001 Tikhomirov, V. M. 1 2022 The Lagrange principle and problems of optimal control. Part 1. Textbook. (Printsip Lagranzha i zadachi optimal’nogo upravleniya.Chast’ 1. Uchebnoe posobie). Zbl 0541.49001 Alekseev, V. M.; Tikhomirov, V. M. 1 1979 Duality and calculus of convex objects (theory and applications). Zbl 1157.52007 Brinkhuis, J.; Tikhomirov, V. M. 1 2007 On \(n\)-dimensional diameters of certain functional classes. Zbl 0089.09302 Tikhomirov, V. M. 1 1960 Arbeiten zur Informationstheorie. III: \(\varepsilon\)-Entropie und \(\varepsilon\)-Kapazität von Mengen und Funktionalräumen. Zbl 0098.32301 Kolmogoroff, A. N.; Tichomirow, W. M. 1 1960 Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems. Zbl 1255.49033 Tikhomirov, V.; Kochurov, A. 1 2011 Leonid Kantorovich and approximation theory. Zbl 1484.41001 Tikhomirov, V. M. 1 2022 The Moscow Mathematical Society in the development of mathematics in Russia. Zbl 1325.01029 Demidov, S. S.; Tikhomirov, V. M.; Tokareva, T. A. 2 2015 Lagrange’s principle in extremum problems with constraints. Zbl 1275.49041 Avakov, E. R.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 14 2013 Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems. Zbl 1255.49033 Tikhomirov, V.; Kochurov, A. 1 2011 Lagrange principle and necessary conditions. Zbl 1263.90096 Tikhomirov, V. 1 2009 Newton’s method, differential equations, and the Lagrangian principle for necessary extremum conditions. Zbl 1165.49023 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 5 2008 Duality and calculus of convex objects (theory and applications). Zbl 1157.52007 Brinkhuis, J.; Tikhomirov, V. M. 1 2007 Approximation theory in the twentieth century. Zbl 1082.01012 Tikhomirov, V. M. 3 2006 Optimization: Insights and applications. Zbl 1093.49002 Brinkhuis, Jan; Tikhomirov, Vladimir 8 2005 The smoothly approximately convex principle and its applications. Zbl 1299.49026 Tikhomirov, V. M. 1 2005 Extremal problems for linear functionals on Chebyshev spaces. Zbl 1077.41020 Demidovich, V. B.; Magaril-Ilyaev, G. G.; Tikhomirov, V. M. 1 2005 Convex analysis: theory and applications. Transl. from the Russian by Dmitry Chibisov. Zbl 1041.49001 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 32 2003 Indefinite knowledge about an object and accuracy of its recovery methods. Zbl 1074.41021 Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 6 2003 Optimal recovery and extremum theory. Zbl 1025.41014 Magaril-Il’yaev, Gregorij G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 3 2002 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011 Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 Geometry. Transl. from the Russian by O. V. Sipacheva. Transl. edited by A. B. Sossinski. Zbl 0977.51001 Prasolov, V. V.; Tikhomirov, V. M. 14 2001 On exact values of \(n\)-widths in a Hilbert space. Zbl 0976.41025 Magaril-Il’yaev, Georgii G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 2 2001 Optimal reconstruction and extremum theory. Zbl 1091.41500 Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 1 2001 Moscow Mathematics 1950–1975. Zbl 0961.01032 Tikhomirov, Vladimir M. 2 2000 Theory of extremum and extremal problems of classical analysis. Zbl 0988.49001 Tikhomirov, V. M. 2 1999 Phenomenon extraordinaire. A book about Kolmogorov. Compiled by N. Kh. Rozov. (Yavlenie chrezvychajnoe. Kniga o Kolmogorove.) Zbl 1055.01500 1 1999 Pavel Samuilovich Urysohn (1898-1924). Zbl 0930.01031 Arkhangelskij, A. V.; Tikhomirov, V. M. 1 1998 The phenomenon of the Moscow Mathematical School. Zbl 0955.01010 Tikhomirov, Vladimir 1 1998 Principle of extremum and application to some problems in analysis. Zbl 0948.49011 Tikhomirov, V. M. 1 1998 Kolmogorov-type inequalities for derivatives. Zbl 0911.26009 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1997 Some remarks on variational principles. Zbl 0928.49013 Ioffe, A. D.; Tikhomirov, V. M. 8 1997 On extremal subspaces for classes of functions defined by kernels that do not increase oscillation. Zbl 0913.41017 Tikhomirov, V. M. 3 1997 The evolution of methods of convex optimization. Zbl 0864.90100 Tikhomirov, V. M. 2 1996 Elements of numerical analysis. With a preface by V. M. Tikhomirov. (Nachala chislennogo analiza.) Zbl 0949.65001 Lokutsievskij, O. V.; Gavrikov, M. B. 7 1995 In memoriam Adolph Andrei Pavlovich Yushkevich (1906-1993). Zbl 0829.01027 Bashmakova, Isabella; Bogolyubov, A. N.; Demidov, S. S.; Gnedenko, B. V.; Knobloch, E.; Matvievskaya, Galina; Rowe, D. E.; Rozenfeld, B. A.; Sheynin, O. B.; Tikhomirov, V. M. 2 1995 On the opinions of specialists in cybernetics, literature, philosophy. (Publication and comment of V. M. Tikhomirov). Zbl 0903.01021 Kolmogorov, A. N. 1 1995 Harmonics and splines as optimal tools for approximation and recovery. Zbl 0896.41013 Tikhomirov, V. M. 1 1995 A remark on Lavrentiev phenomenon. Zbl 0869.49001 Tikhomirov, V. M. 1 1994 Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145 DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M. 25 1993 Spectra on nonlinear differential equations and widths of Sobolev classes. Zbl 0776.34065 Buslaev, A. P.; Tikhomirov, V. M. 5 1992 Selected works of A. N. Kolmogorov. Volume I: Mathematics and mechanics. Ed. by V. M. Tikhomirov. Transl. from the Russian by V. M. Volosov. Zbl 0732.01045 Kolmogorov, A. N. 14 1991 Spectra of nonlinear differential equations and diameters of Sobolev classes. Zbl 0718.34113 Buslaev, A. P.; Tikhomirov, V. M. 15 1990 Stories about maxima and minima. Transl. from the Russian by Abe Shenitzer. Zbl 0746.49001 Tikhomirov, V. M. 15 1990 Theory of extremal problems and approximation theory. Zbl 0728.41016 Tikhomirov, V. M. 14 1990 A short course on the theory of extremal problems. Textbook. (Kratkij kurs teorii ehkstremal’nykh zadach. Uchebnoe posobie.) Zbl 0697.49001 Galeev, Eh. M.; Tikhomirov, V. M. 9 1989 Some remarks on relative diameters. Zbl 0701.41036 Tikhomirov, V. M. 8 1989 A. N. Kolmogorov and approximation theory. Zbl 0675.01018 Tikhomirov, V. M. 1 1989 A. N. Kolmogorov and approximation theory. Zbl 0682.01003 Tikhomirov, V. M. 1 1989 Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001 Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 100 1987 Theory of approximations. Zbl 0655.41002 Tikhomirov, V. M. 27 1987 Convex analysis. Zbl 0781.49001 Tikhomirov, V. M. 12 1986 Fundamental principles of the theory of extremal problems. Transl. from the Russian by Bernd Luderer. Licensed ed. Zbl 0595.49001 Tikhomirov, Vladimir M. 10 1986 Approximation theory. Zbl 0780.41001 Tikhomirov, V. M. 3 1986 Some questions of nonlinear analysis and approximation theory. Zbl 0595.34018 Buslaev, A. P.; Tikhomirov, V. M. 8 1985 Widths and entropy. Zbl 0584.94007 Tikhomirov, V. M. 4 1983 Existence of extremal functions in inequalities for derivatives. Zbl 0527.26007 Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 2 1983 The Lagrange principle and problems of optimal control. Part 2. Textbook. (Printsip Lagranzha i zadachi optimal’nogo upravleniya. Chast’ 2. Uchebnoe posobie). Zbl 0541.49002 Tikhomirov, V. M. 2 1982 On the existence of extremal functions in inequalities for derivatives. Zbl 0526.26006 Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 1 1982 On the Kolmogorov inequality for fractional derivatives on the half-line. Zbl 0481.46017 Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1981 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011 Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolmogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 1981 Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005 Volevich, L. R.; Voskresenskiĭ, G. P.; Zabrodin, A. V.; Kolmogorov, A. N.; Oleĭnik, O. A.; Tikhomirov, V. M. 1 1980 On approximate characteristics of smooth functions of several variables. Zbl 0465.41004 Tikhomirov, V. M. 1 1980 Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051 Ioffe, A. D.; Tihomirov, V. M. 374 1979 Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002 Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 215 1979 Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001 Ioffe, A. D.; Tikhomirov, V. M. 17 1979 Inequalities for derivatives in the multidimensional case. Zbl 0499.49001 Buslaev’, A. P.; Tikhomirov, V. M. 8 1979 The Lagrange principle and problems of optimal control. Part 1. Textbook. (Printsip Lagranzha i zadachi optimal’nogo upravleniya.Chast’ 1. Uchebnoe posobie). Zbl 0541.49001 Alekseev, V. M.; Tikhomirov, V. M. 1 1979 Extremal problems in approximation theory and diameters of smooth functions. Zbl 0552.41015 Tikhomirov, V. M. 1 1977 Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042 Ioffe, A. D.; Tikhomirov, V. M. 9 1974 Best methods of approximation and interpolation of differentiable functions in the space \(C_{[-1,1]}\). Zbl 0204.13301 Tikhomirov, V. M. 46 1969 On minimization of integral functionals. Zbl 0193.07603 Ioffe, A. D.; Tikhomirov, V. M. 5 1969 Duality of convex functions and extremum problems. Zbl 0191.13101 Ioffe, A. D.; Tikhomirov, V. M. 62 1968 Extension of variational problems. Zbl 0194.13902 Ioffe, A. D.; Tikhomirov, V. M. 51 1968 Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202 Ioffe, A. D.; Tikhomirov, V. M. 3 1968 Erweiterung von Variationsproblemen. Zbl 0169.13903 Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Duality in problems of the calculus of variations. Zbl 0172.15202 Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Über die beste lineare Approximation von Funktionen, die aus einem gegebenen Kontinuum in ein gegebenes Gebiet analytisch fortsetzbar sind. Zbl 0184.10001 Erohin, V. D. 1 1968 Über die Durchmesser einer Funktionenklasse im \(L_ p\)-Raum \((p\geq 1)\). Zbl 0166.10802 Tikhomirov, V. M.; Babadzhanov, S. B. 4 1967 Über geometrische Charakteristiken der Einbettung von \(W^ \alpha_ p\)-Klassen in \(C\). Zbl 0156.36801 Solomyak, M. Z.; Tikhomirov, V. M. 3 1967 Approximation of analytic functions by rational functions. Zbl 0184.29902 Levin, A. L.; Tikhomirov, V. M. 2 1967 Some problems of approximation theory. Zbl 0156.13602 Tikhomirov, V. M. 15 1965 Eine Bemerkung über \(n\)-dimensionale Durchmesser von Mengen in Banachräumen. Zbl 0141.31001 Tikhomirov, V. M. 5 1965 Kolmogorov’s work on \(\epsilon\)-entropy of functional classes and the superposition of functions. Zbl 0149.37902 Tikhomirov, V. M. 4 1963 Diameters of sets in functional spaces and the theory of best approximations. Zbl 0097.09103 Tikhomirov, V. M. 62 1960 On \(n\)-dimensional diameters of certain functional classes. Zbl 0089.09302 Tikhomirov, V. M. 1 1960 Arbeiten zur Informationstheorie. III: \(\varepsilon\)-Entropie und \(\varepsilon\)-Kapazität von Mengen und Funktionalräumen. Zbl 0098.32301 Kolmogoroff, A. N.; Tichomirow, W. M. 1 1960 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503 Kolmogorov, A. N.; Tikhomirov, V. M. 170 1959 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703 Kolmogorov, A. N.; Tikhomirov, V. M. 78 1959 On the \(\varepsilon\)- entropy of some classes of analytical functions. Zbl 0081.06705 Tikhomirov, V. M. 7 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,495 Authors 27 Arutyunov, Aram Vladimirovic 23 Magaril-Il’yaev, Gregoriĭ Geogrievich 20 Babenko, Vladyslav Fedorovych 19 Tret’yakov, Alexey A. 16 Avakov, Evgeniĭ Rachievich 16 Sumin, Mikhail Iosifovich 15 Kats, Boris Aleksandrovich 14 Yao, Jen-Chih 13 Nguyen Thi Toan 13 Vasil’eva, Anastasiya Andreevna 12 Nguyen Dong Yen 10 Tikhomirov, Vladimir Mikhaĭlovich 9 Aseev, Sergei M. 9 Dinh Dũng 9 Dmitruk, Andrei V. 9 Karamzin, Dmitry Yu. 9 Ligun, A. A. 9 Osipenko, Konstantin Yur’evich 9 Thuy, Le Quang 8 Chikriĭ, Arkadiĭ Alekseevich 8 Liu, Yongping 8 Parfinovych, Nataliia Viktorivna 7 Dolgopolik, Maxim Vladimirovich 7 Evtushenko, Yuriĭ Gavrilovich 7 Ioffe, Alexander Davidovich 7 Kien, Bui Trong 7 Korneĭchuk, Nikolaĭ Pavlovich 7 Ledzewicz, Urszula 7 Moklyachuk, Mykhaĭlo Pavlovych 7 Prusińska, Agnieszka 7 Tröltzsch, Fredi 7 Vakarchuk, Sergei Borisovich 7 Visintin, Augusto 6 Azhmyakov, Vadim 6 Carreño, Nicolás 6 Hantoute, Abderrahim 6 Hoàng Xuân Phù 6 Huong, Vu Thi 6 Limaco, Juan 6 Mordukhovich, Boris S. 6 Popkov, Yuriĭ Solomonovich 6 Shapiro, Alexander 6 Sickel, Winfried 6 Sivkova, Elena Olegovna 6 Thai Doan Chuong 5 Alt, Walter 5 Antipin, Anatoliĭ Sergeevich 5 Bednarczuk, Ewa M. 5 Brezhneva, Olga A. 5 Brinkhuis, Jan 5 Danilin, Alekseĭ Rufimovich 5 DeVore, Ronald A. 5 Fatalov, Vadim Rolandovich 5 Fernández-Cara, Enrique 5 Hajja, Mowaffaq 5 Hritonenko, Natali 5 Izmailov, Alekseĭ F. 5 Jourani, Abderrahim 5 Kamenev, Georgy K. 5 Kruger, Alexander Y. 5 Kushpel, Alexander K. 5 Mansimov, Kamil Baĭramali oglu 5 Novak, Erich 5 Novikov, Sergey I. 5 Orlov, Igor Vladimirovich 5 Páles, Zsolt 5 Phan Quôc Khánh 5 Pickenhain, Sabine 5 Rojas-Medar, Marko Antonio 5 Schättler, Heinz Michael 5 Seeger, Alberto 5 Serovaĭskiĭ, Simon Ya. 5 Van der Vaart, Adrianus Willem 5 Vinogradov, Oleg Leonidovich 5 Zelikin, Mikhail Il’ich 4 Arias-Castro, Ery 4 Birgé, Lucien 4 Bonnans, Joseph Frédéric 4 Casas, Eduardo 4 de Vylder, Florent Etienne 4 Dykhta, Vladimir Aleksandrovich 4 Edmunds, David Eric 4 Imanuvilov, Oleg Yu. 4 Khoroshilova, Elena Vladimirovna 4 Kochurov, Aleksandr Savel’evich 4 Lang, Jan 4 Lerner, Vladimir S. 4 López-Cerdá, Marco Antonio 4 Lykina, Valeriya 4 Manservisi, Sandro 4 Nikitin, Yakov Yur’evich 4 Osmolovskiĭ, Nikolaĭ Pavlovich 4 Osuna-Gómez, Rafaela 4 Papageorgiou, Nikolaos S. 4 Petrova, Guergana 4 Pichugov, S. A. 4 Pokutnyĭ, Oleksandr Olekseevich 4 Protasov, Vladimir Yu. 4 Rappoport, I. S. 4 Romanovskij, R. K. ...and 1,395 more Authors all top 5 Cited in 322 Serials 96 Mathematical Notes 63 Journal of Optimization Theory and Applications 57 Journal of Mathematical Analysis and Applications 52 Journal of Mathematical Sciences (New York) 45 Ukrainian Mathematical Journal 39 Proceedings of the Steklov Institute of Mathematics 34 Journal of Approximation Theory 32 Journal of Complexity 26 Automation and Remote Control 25 Differential Equations 24 Journal of Applied Mathematics and Mechanics 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 The Annals of Statistics 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Cybernetics and Systems Analysis 18 Russian Mathematics 17 Computational Mathematics and Mathematical Physics 16 Siberian Mathematical Journal 16 Optimization 13 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 13 Applied Mathematics and Optimization 13 Journal of Differential Equations 13 Doklady Mathematics 12 Journal of Soviet Mathematics 12 Journal of Global Optimization 12 Mathematical Programming. Series A. Series B 10 Transactions of the American Mathematical Society 10 SIAM Journal on Optimization 9 Set-Valued and Variational Analysis 8 Journal of Functional Analysis 8 Journal of Statistical Planning and Inference 8 Numerical Functional Analysis and Optimization 8 Systems & Control Letters 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal of Computer and Systems Sciences International 8 Russian Journal of Mathematical Physics 8 Journal of Convex Analysis 8 Acta Mathematica Sinica. English Series 8 Nonlinear Analysis. Theory, Methods & Applications 7 Applied Mathematics and Computation 7 Constructive Approximation 7 SIAM Journal on Mathematical Analysis 6 Proceedings of the American Mathematical Society 6 SIAM Journal on Control and Optimization 6 Computational Mathematics and Modeling 6 International Journal of Computer Mathematics 6 Sbornik: Mathematics 6 Vietnam Journal of Mathematics 6 Positivity 6 Electronic Journal of Statistics 6 Eurasian Mathematical Journal 5 Applicable Analysis 5 Problems of Information Transmission 5 Acta Mathematica Vietnamica 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Functional Analysis and its Applications 5 Journal of Multivariate Analysis 5 Journal de Mathématiques Pures et Appliquées. 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Matematika 3 Analysis Mathematica 3 Journal of Econometrics 3 Journal of Mathematical Economics 3 Mathematische Nachrichten 3 Proceedings of the Japan Academy. Series A 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Moscow University Computational Mathematics and Cybernetics 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 The Annals of Applied Probability 3 European Journal of Operational Research 3 Theory of Probability and Mathematical Statistics 3 The Journal of Fourier Analysis and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Dynamical and Control Systems 3 Lobachevskii Journal of Mathematics 3 Journal of Industrial and Management Optimization 3 Bulletin of the American Mathematical Society ...and 222 more Serials all top 5 Cited in 51 Fields 519 Calculus of variations and optimal control; optimization (49-XX) 248 Operations research, mathematical programming (90-XX) 219 Approximations and expansions (41-XX) 163 Systems theory; control (93-XX) 162 Partial differential equations (35-XX) 139 Functional analysis (46-XX) 113 Numerical analysis (65-XX) 101 Statistics (62-XX) 98 Operator theory (47-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Real functions (26-XX) 58 Ordinary differential equations (34-XX) 58 Probability theory and stochastic processes (60-XX) 54 Computer science (68-XX) 41 Functions of a complex variable (30-XX) 36 Convex and discrete geometry (52-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Mechanics of deformable solids (74-XX) 32 Fluid mechanics (76-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 General topology (54-XX) 28 Information and communication theory, circuits (94-XX) 24 Measure and integration (28-XX) 24 Mechanics of particles and systems (70-XX) 19 Integral equations (45-XX) 17 History and biography (01-XX) 15 Biology and other natural sciences (92-XX) 13 Geometry (51-XX) 13 Differential geometry (53-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Difference and functional equations (39-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Special functions (33-XX) 5 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 3 Algebraic geometry (14-XX) 3 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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