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: 188 Publications since 1957, including 16 Books 9 Contributions as Editor · 4 Further Contributions Biographic References: 7 Publications Co-Authors: 247 Co-Authors with 116 Joint Publications 5,886 Co-Co-Authors all top 5 Co-Authors 84 single-authored 21 Magaril-Il’yaev, Gregoriĭ Geogrievich 12 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 Oleĭnik, Ol’ga Arsen’evna 6 Osipenko, Konstantin Yur’evich 5 Kozlov, Valeriĭ Vasil’evich 5 Sadovnichiĭ, Viktor Antonovich 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 Anosov, Dmitriĭ Viktorovich 3 Arnol’d, Vladimir Igorevich 3 Chubarikov, Vladimir Nikolaevich 3 Galeev, Eh. M. 3 Ilyashenko, Yulij Sergeevich 3 Kusraev, Anatoly Georgievich 3 Osipov, Yuriĭ Sergeevich 3 Shubin, Mikhail Aleksandrovich 3 Ul’yanov, Pëtr Lavrent’evich 3 Voskresenskij, G. P. 3 Zabrodin, Anton V. 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, Alexei N. 2 Petrova, Svetlana Sergeevna 2 Radkevich, Evgeniĭ Vladimirovich 2 Reshetnyak, Yuriĭ Grigor’evich 2 Semënov, Alekseĭ L’vovich 2 Shafarevich, Igor’ Rostislavovich 2 Shavgulidze, Eugene T. 2 Shiryaev, Al’bert Nikolaevich 2 Shkalikov, Andreĭ Andreevich 2 Shnirelman, Alexander I. 2 Smirnova, Galina Sergeevna 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 1 Borisyuk, Roman M. ...and 150 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 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 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematics and Its Applications. Soviet Series 1 Mathematical World 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 85 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 81 Publications have been cited 1,418 times in 1,299 Documents Cited by ▼ Year ▼ Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051Ioffe, A. D.; Tihomirov, V. M. 325 1979 Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 199 1979 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503Kolmogorov, A. N.; Tikhomirov, V. M. 160 1959 Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 78 1987 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703Kolmogorov, A. N.; Tikhomirov, V. M. 71 1959 Duality of convex functions and extremum problems. Zbl 0191.13101Ioffe, A. D.; Tikhomirov, V. M. 62 1968 Diameters of sets in functional spaces and the theory of best approximations. Zbl 0097.09103Tikhomirov, V. M. 60 1960 Extension of variational problems. Zbl 0194.13902Ioffe, A. D.; Tikhomirov, V. M. 51 1968 Best methods of approximation and interpolation of differentiable functions in the space \(C_{[-1,1]}\). Zbl 0204.13301Tikhomirov, V. M. 46 1969 Theory of approximations. Zbl 0655.41002Tikhomirov, V. M. 25 1987 Convex analysis: theory and applications. Transl. from the Russian by Dmitry Chibisov. Zbl 1041.49001Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 25 2003 Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M. 23 1993 Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001Ioffe, A. D.; Tikhomirov, V. M. 17 1979 Some problems of approximation theory. Zbl 0156.13602Tikhomirov, V. M. 15 1965 Spectra of nonlinear differential equations and diameters of Sobolev classes. Zbl 0718.34113Buslaev, A. P.; Tikhomirov, V. M. 15 1990 Stories about maxima and minima. Transl. from the Russian by Abe Shenitzer. Zbl 0746.49001Tikhomirov, V. M. 14 1990 Theory of extremal problems and approximation theory. Zbl 0728.41016Tikhomirov, V. M. 14 1990 Lagrange’s principle in extremum problems with constraints. Zbl 1275.49041Avakov, E. R.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 14 2013 Geometry. Transl. from the Russian by O. V. Sipacheva. Transl. edited by A. B. Sossinski. Zbl 0977.51001Prasolov, V. V.; Tikhomirov, V. M. 13 2001 Convex analysis. Zbl 0781.49001Tikhomirov, V. M. 12 1986 Kolmogorov-type inequalities for derivatives. Zbl 0911.26009Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1997 On the Kolmogorov inequality for fractional derivatives on the half-line. Zbl 0481.46017Magaril-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 0595.49001Tikhomirov, Vladimir M. 9 1986 Some questions of nonlinear analysis and approximation theory. Zbl 0595.34018Buslaev, A. P.; Tikhomirov, V. M. 8 1985 Optimization: Insights and applications. Zbl 1093.49002Brinkhuis, Jan; Tikhomirov, Vladimir 8 2005 Inequalities for derivatives in the multidimensional case. Zbl 0499.49001Buslaev’, A. P.; Tikhomirov, V. M. 8 1979 On the \(\varepsilon\)- entropy of some classes of analytical functions. Zbl 0081.06705Tikhomirov, V. M. 7 1957 A short course on the theory of extremal problems. Textbook. (Kratkij kurs teorii ehkstremal’nykh zadach. Uchebnoe posobie.) Zbl 0697.49001Galeev, Eh. M.; Tikhomirov, V. M. 7 1989 Some remarks on variational principles. Zbl 0928.49013Ioffe, A. D.; Tikhomirov, V. M. 7 1997 Some remarks on relative diameters. Zbl 0701.41036Tikhomirov, V. M. 7 1989 Indefinite knowledge about an object and accuracy of its recovery methods. Zbl 1074.41021Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 6 2003 Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042Ioffe, A. D.; Tikhomirov, V. M. 6 1974 Elements of numerical analysis. With a preface by V. M. Tikhomirov. (Nachala chislennogo analiza.) Zbl 0949.65001Lokutsievskij, O. V.; Gavrikov, M. B. 5 1995 Newton’s method, differential equations, and the Lagrangian principle for necessary extremum conditions. Zbl 1165.49023Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 5 2008 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 0732.01045Kolmogorov, A. N. 5 1991 Spectra on nonlinear differential equations and widths of Sobolev classes. Zbl 0776.34065Buslaev, A. P.; Tikhomirov, V. M. 5 1992 Eine Bemerkung über \(n\)-dimensionale Durchmesser von Mengen in Banachräumen. Zbl 0141.31001Tikhomirov, V. M. 5 1965 On minimization of integral functionals. Zbl 0193.07603Ioffe, A. D.; Tikhomirov, V. M. 4 1969 On extremal subspaces for classes of functions defined by kernels that do not increase oscillation. Zbl 0913.41017Tikhomirov, V. M. 3 1997 Approximation theory. Zbl 0780.41001Tikhomirov, V. M. 3 1986 Kolmogorov’s work on \(\epsilon\)-entropy of functional classes and the superposition of functions. Zbl 0149.37902Tikhomirov, V. M. 3 1963 Über geometrische Charakteristiken der Einbettung von \(W^ \alpha_ p\)-Klassen in \(C\). Zbl 0156.36801Solomyak, M. Z.; Tikhomirov, V. M. 3 1967 Über die Durchmesser einer Funktionenklasse im \(L_ p\)-Raum \((p\geq 1)\). Zbl 0166.10802Tikhomirov, V. M.; Babadzhanov, S. B. 3 1967 Approximation theory in the twentieth century. Zbl 1082.01012Tikhomirov, V. M. 3 2006 Widths and entropy. Zbl 0584.94007Tikhomirov, V. M. 3 1983 The Moscow Mathematical Society in the development of mathematics in Russia. Zbl 1325.01029Demidov, S. S.; Tikhomirov, V. M.; Tokareva, T. A. 2 2015 Theory of extremum and extremal problems of classical analysis. Zbl 0988.49001Tikhomirov, V. M. 2 1999 Moscow Mathematics 1950–1975. Zbl 0961.01032Tikhomirov, Vladimir M. 2 2000 The evolution of methods of convex optimization. Zbl 0864.90100Tikhomirov, V. M. 2 1996 Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202Ioffe, A. D.; Tikhomirov, V. M. 2 1968 Approximation of analytic functions by rational functions. Zbl 0184.29902Levin, A. L.; Tikhomirov, V. M. 2 1967 Optimal recovery and extremum theory. Zbl 1025.41014Magaril-Il’yaev, Gregorij G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 2 2002 Existence of extremal functions in inequalities for derivatives. Zbl 0527.26007Buslaev, 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 0541.49002Tikhomirov, V. M. 2 1982 Extremal problems for linear functionals on Chebyshev spaces. Zbl 1077.41020Demidovich, V. B.; Magaril-Ilyaev, G. G.; Tikhomirov, V. M. 1 2005 Principle of extremum and application to some problems in analysis. Zbl 0948.49011Tikhomirov, V. M. 1 1998 The smoothly approximately convex principle and its applications. Zbl 1299.49026Tikhomirov, V. M. 1 2005 On \(n\)-dimensional diameters of certain functional classes. Zbl 0089.09302Tikhomirov, V. M. 1 1960 A remark on Lavrentiev phenomenon. Zbl 0869.49001Tikhomirov, V. M. 1 1994 Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005Volevich, 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 0465.41004Tikhomirov, V. M. 1 1980 On exact values of \(n\)-widths in a Hilbert space. Zbl 0976.41025Magaril-Il’yaev, Georgii G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 1 2001 In memoriam Adolph Andrei Pavlovich Yushkevich (1906-1993). Zbl 0829.01027Bashmakova, 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. 1 1995 Harmonics and splines as optimal tools for approximation and recovery. Zbl 0896.41013Tikhomirov, V. M. 1 1995 Pavel Samuilovich Urysohn (1898-1924). Zbl 0930.01031Arkhangelskij, A. V.; Tikhomirov, V. M. 1 1998 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolomogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 1981 Duality and calculus of convex objects (theory and applications). Zbl 1157.52007Brinkhuis, J.; Tikhomirov, V. M. 1 2007 Erweiterung von Variationsproblemen. Zbl 0169.13903Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Duality in problems of the calculus of variations. Zbl 0172.15202Ioffe, 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 0184.10001Erohin, V. D. 1 1968 Optimal reconstruction and extremum theory. Zbl 1091.41500Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 1 2001 A. N. Kolmogorov and approximation theory. Zbl 0675.01018Tikhomirov, V. M. 1 1989 A. N. Kolmogorov and approximation theory. Zbl 0682.01003Tikhomirov, V. M. 1 1989 Lagrange principle and necessary conditions. Zbl 1263.90096Tikhomirov, V. 1 2009 Arbeiten zur Informationstheorie. III: \(\varepsilon\)-Entropie und \(\varepsilon\)-Kapazität von Mengen und Funktionalräumen. Zbl 0098.32301Kolmogoroff, A. N.; Tichomirow, W. M. 1 1960 The phenomenon of the Moscow Mathematical School. Zbl 0955.01010Tikhomirov, Vladimir 1 1998 On the existence of extremal functions in inequalities for derivatives. Zbl 0526.26006Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 1 1982 The Lagrange principle and problems of optimal control. Part 1. Textbook. (Printsip Lagranzha i zadachi optimal’nogo upravleniya.Chast’ 1. Uchebnoe posobie). Zbl 0541.49001Alekseev, V. M.; Tikhomirov, V. M. 1 1979 Extremal problems in approximation theory and diameters of smooth functions. Zbl 0552.41015Tikhomirov, V. M. 1 1977 Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems. Zbl 1255.49033Tikhomirov, V.; Kochurov, A. 1 2011 The Moscow Mathematical Society in the development of mathematics in Russia. Zbl 1325.01029Demidov, S. S.; Tikhomirov, V. M.; Tokareva, T. A. 2 2015 Lagrange’s principle in extremum problems with constraints. Zbl 1275.49041Avakov, 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 1255.49033Tikhomirov, V.; Kochurov, A. 1 2011 Lagrange principle and necessary conditions. Zbl 1263.90096Tikhomirov, V. 1 2009 Newton’s method, differential equations, and the Lagrangian principle for necessary extremum conditions. Zbl 1165.49023Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 5 2008 Duality and calculus of convex objects (theory and applications). Zbl 1157.52007Brinkhuis, J.; Tikhomirov, V. M. 1 2007 Approximation theory in the twentieth century. Zbl 1082.01012Tikhomirov, V. M. 3 2006 Optimization: Insights and applications. Zbl 1093.49002Brinkhuis, Jan; Tikhomirov, Vladimir 8 2005 Extremal problems for linear functionals on Chebyshev spaces. Zbl 1077.41020Demidovich, V. B.; Magaril-Ilyaev, G. G.; Tikhomirov, V. M. 1 2005 The smoothly approximately convex principle and its applications. Zbl 1299.49026Tikhomirov, V. M. 1 2005 Convex analysis: theory and applications. Transl. from the Russian by Dmitry Chibisov. Zbl 1041.49001Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 25 2003 Indefinite knowledge about an object and accuracy of its recovery methods. Zbl 1074.41021Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 6 2003 Optimal recovery and extremum theory. Zbl 1025.41014Magaril-Il’yaev, Gregorij G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 2 2002 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, 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 0977.51001Prasolov, V. V.; Tikhomirov, V. M. 13 2001 On exact values of \(n\)-widths in a Hilbert space. Zbl 0976.41025Magaril-Il’yaev, Georgii G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. 1 2001 Optimal reconstruction and extremum theory. Zbl 1091.41500Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. 1 2001 Moscow Mathematics 1950–1975. Zbl 0961.01032Tikhomirov, Vladimir M. 2 2000 Theory of extremum and extremal problems of classical analysis. Zbl 0988.49001Tikhomirov, V. M. 2 1999 Principle of extremum and application to some problems in analysis. Zbl 0948.49011Tikhomirov, V. M. 1 1998 Pavel Samuilovich Urysohn (1898-1924). Zbl 0930.01031Arkhangelskij, A. V.; Tikhomirov, V. M. 1 1998 The phenomenon of the Moscow Mathematical School. Zbl 0955.01010Tikhomirov, Vladimir 1 1998 Kolmogorov-type inequalities for derivatives. Zbl 0911.26009Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1997 Some remarks on variational principles. Zbl 0928.49013Ioffe, A. D.; Tikhomirov, V. M. 7 1997 On extremal subspaces for classes of functions defined by kernels that do not increase oscillation. Zbl 0913.41017Tikhomirov, V. M. 3 1997 The evolution of methods of convex optimization. Zbl 0864.90100Tikhomirov, V. M. 2 1996 Elements of numerical analysis. With a preface by V. M. Tikhomirov. (Nachala chislennogo analiza.) Zbl 0949.65001Lokutsievskij, O. V.; Gavrikov, M. B. 5 1995 In memoriam Adolph Andrei Pavlovich Yushkevich (1906-1993). Zbl 0829.01027Bashmakova, 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. 1 1995 Harmonics and splines as optimal tools for approximation and recovery. Zbl 0896.41013Tikhomirov, V. M. 1 1995 A remark on Lavrentiev phenomenon. Zbl 0869.49001Tikhomirov, V. M. 1 1994 Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M. 23 1993 Spectra on nonlinear differential equations and widths of Sobolev classes. Zbl 0776.34065Buslaev, 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 0732.01045Kolmogorov, A. N. 5 1991 Spectra of nonlinear differential equations and diameters of Sobolev classes. Zbl 0718.34113Buslaev, A. P.; Tikhomirov, V. M. 15 1990 Stories about maxima and minima. Transl. from the Russian by Abe Shenitzer. Zbl 0746.49001Tikhomirov, V. M. 14 1990 Theory of extremal problems and approximation theory. Zbl 0728.41016Tikhomirov, V. M. 14 1990 A short course on the theory of extremal problems. Textbook. (Kratkij kurs teorii ehkstremal’nykh zadach. Uchebnoe posobie.) Zbl 0697.49001Galeev, Eh. M.; Tikhomirov, V. M. 7 1989 Some remarks on relative diameters. Zbl 0701.41036Tikhomirov, V. M. 7 1989 A. N. Kolmogorov and approximation theory. Zbl 0675.01018Tikhomirov, V. M. 1 1989 A. N. Kolmogorov and approximation theory. Zbl 0682.01003Tikhomirov, V. M. 1 1989 Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 78 1987 Theory of approximations. Zbl 0655.41002Tikhomirov, V. M. 25 1987 Convex analysis. Zbl 0781.49001Tikhomirov, V. M. 12 1986 Fundamental principles of the theory of extremal problems. Transl. from the Russian by Bernd Luderer. Licensed ed. Zbl 0595.49001Tikhomirov, Vladimir M. 9 1986 Approximation theory. Zbl 0780.41001Tikhomirov, V. M. 3 1986 Some questions of nonlinear analysis and approximation theory. Zbl 0595.34018Buslaev, A. P.; Tikhomirov, V. M. 8 1985 Widths and entropy. Zbl 0584.94007Tikhomirov, V. M. 3 1983 Existence of extremal functions in inequalities for derivatives. Zbl 0527.26007Buslaev, 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 0541.49002Tikhomirov, V. M. 2 1982 On the existence of extremal functions in inequalities for derivatives. Zbl 0526.26006Buslaev, A. P.; Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 1 1982 On the Kolmogorov inequality for fractional derivatives on the half-line. Zbl 0481.46017Magaril-Il’yaev, G. G.; Tikhomirov, V. M. 11 1981 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolomogorov, 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 0425.01005Volevich, 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 0465.41004Tikhomirov, V. M. 1 1980 Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051Ioffe, A. D.; Tihomirov, V. M. 325 1979 Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. 199 1979 Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001Ioffe, A. D.; Tikhomirov, V. M. 17 1979 Inequalities for derivatives in the multidimensional case. Zbl 0499.49001Buslaev’, 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 0541.49001Alekseev, V. M.; Tikhomirov, V. M. 1 1979 Extremal problems in approximation theory and diameters of smooth functions. Zbl 0552.41015Tikhomirov, V. M. 1 1977 Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042Ioffe, A. D.; Tikhomirov, V. M. 6 1974 Best methods of approximation and interpolation of differentiable functions in the space \(C_{[-1,1]}\). Zbl 0204.13301Tikhomirov, V. M. 46 1969 On minimization of integral functionals. Zbl 0193.07603Ioffe, A. D.; Tikhomirov, V. M. 4 1969 Duality of convex functions and extremum problems. Zbl 0191.13101Ioffe, A. D.; Tikhomirov, V. M. 62 1968 Extension of variational problems. Zbl 0194.13902Ioffe, A. D.; Tikhomirov, V. M. 51 1968 Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202Ioffe, A. D.; Tikhomirov, V. M. 2 1968 Erweiterung von Variationsproblemen. Zbl 0169.13903Ioffe, A. D.; Tikhomirov, V. M. 1 1968 Duality in problems of the calculus of variations. Zbl 0172.15202Ioffe, 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 0184.10001Erohin, V. D. 1 1968 Über geometrische Charakteristiken der Einbettung von \(W^ \alpha_ p\)-Klassen in \(C\). Zbl 0156.36801Solomyak, M. Z.; Tikhomirov, V. M. 3 1967 Über die Durchmesser einer Funktionenklasse im \(L_ p\)-Raum \((p\geq 1)\). Zbl 0166.10802Tikhomirov, V. M.; Babadzhanov, S. B. 3 1967 Approximation of analytic functions by rational functions. Zbl 0184.29902Levin, A. L.; Tikhomirov, V. M. 2 1967 Some problems of approximation theory. Zbl 0156.13602Tikhomirov, V. M. 15 1965 Eine Bemerkung über \(n\)-dimensionale Durchmesser von Mengen in Banachräumen. Zbl 0141.31001Tikhomirov, V. M. 5 1965 Kolmogorov’s work on \(\epsilon\)-entropy of functional classes and the superposition of functions. Zbl 0149.37902Tikhomirov, V. M. 3 1963 Diameters of sets in functional spaces and the theory of best approximations. Zbl 0097.09103Tikhomirov, V. M. 60 1960 On \(n\)-dimensional diameters of certain functional classes. Zbl 0089.09302Tikhomirov, V. M. 1 1960 Arbeiten zur Informationstheorie. III: \(\varepsilon\)-Entropie und \(\varepsilon\)-Kapazität von Mengen und Funktionalräumen. Zbl 0098.32301Kolmogoroff, A. N.; Tichomirow, W. M. 1 1960 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503Kolmogorov, A. N.; Tikhomirov, V. M. 160 1959 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703Kolmogorov, A. N.; Tikhomirov, V. M. 71 1959 On the \(\varepsilon\)- entropy of some classes of analytical functions. Zbl 0081.06705Tikhomirov, V. M. 7 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,371 Authors 26 Arutyunov, Aram Vladimirovic 21 Magaril-Il’yaev, Gregoriĭ Geogrievich 20 Babenko, Vladyslav Fedorovych 18 Tret’yakov, Alexey A. 15 Avakov, Evgeniĭ Rachievich 15 Kats, Boris Aleksandrovich 14 Sumin, Mikhail Iosifovich 14 Yao, Jen-Chih 13 Vasil’eva, Anastasiya Andreevna 11 Nguyen Dong Yen 9 Dinh Dũng 9 Dmitruk, Andrei V. 9 Ligun, A. A. 9 Nguyen Thi Toan 9 Osipenko, Konstantin Yur’evich 8 Aseev, Sergei M. 8 Chikriĭ, Arkadiĭ Alekseevich 8 Liu, Yongping 8 Parfinovych, Nataliia Viktorivna 7 Ioffe, Alexander Davidovich 7 Korneĭchuk, Nikolaĭ Pavlovich 7 Moklyachuk, Mykhaĭlo Pavlovych 7 Prusińska, Agnieszka 7 Tikhomirov, Vladimir Mikhaĭlovich 7 Visintin, Augusto 6 Dolgopolik, Maxim Vladimirovich 6 Evtushenko, Yuriĭ Gavrilovich 6 Hoàng Xuân Phù 6 Karamzin, Dmitry Yu. 6 Kien, Bui Trong 6 Ledzewicz, Urszula 6 Mordukhovich, Boris S. 6 Shapiro, Alexander 6 Sickel, Winfried 6 Thai Doan Chuong 6 Tröltzsch, Fredi 5 Alt, Walter 5 Azhmyakov, Vadim 5 Bednarczuk, Ewa M. 5 Brinkhuis, Jan 5 Carreño, Nicolás 5 DeVore, Ronald A. 5 Fatalov, Vadim Rolandovich 5 Hajja, Mowaffaq 5 Kushpel, Alexander K. 5 Novak, Erich 5 Novikov, Sergey I. 5 Orlov, Igor Vladimirovich 5 Páles, Zsolt 5 Phan Quôc Khánh 5 Pickenhain, Sabine 5 Popkov, Yuriĭ Solomonovich 5 Protasov, Vladimir Yu. 5 Seeger, Alberto 5 Serovaĭskiĭ, Simon Ya. 5 Thuy, Le Quang 5 Van der Vaart, Adrianus Willem 5 Vinogradov, Oleg Leonidovich 4 Arias-Castro, Ery 4 Birgé, Lucien 4 Bonnans, Joseph Frédéric 4 Brezhneva, Olga A. 4 Casas, Eduardo 4 de Vylder, Florent Etienne 4 Dykhta, Vladimir Aleksandrovich 4 Edmunds, David Eric 4 Huong, Vu Thi 4 Imanuvilov, Oleg Yu. 4 Jourani, Abderrahim 4 Kamenev, Georgy K. 4 Kochurov, Aleksandr Savel’evich 4 Kruger, Alexander Y. 4 Lang, Jan 4 Lerner, Vladimir S. 4 Lykina, Valeriya 4 Nikitin, Yakov Yur’evich 4 Osuna-Gómez, Rafaela 4 Papageorgiou, Nikolaos S. 4 Pichugov, S. A. 4 Pokutnyĭ, Oleksandr Olekseevich 4 Rappoport, I. S. 4 Rojas-Medar, Marko Antonio 4 Romanovskij, R. K. 4 Rossi, Riccarda 4 Schättler, Heinz Michael 4 Shen, Xiaotong 4 Shvartsman, Ilya A. 4 Sivkova, Elena Olegovna 4 Strekalovskiĭ, Aleksandr Sergeevich 4 Sumin, Vladimir Iosifovich 4 Taikov, L. V. 4 Trélat, Emmanuel 4 Velikin, V. L. 4 Viet An, Duong Thi 4 Vivanco-Orellana, Violeta 4 Walczak, Stanislaw 4 Zakharyuta, Vyacheslav Pavlovich 4 Zelik, Sergey V. 4 Zelikin, Mikhail Il’ich 3 An, D. T. V. ...and 1,271 more Authors all top 5 Cited in 296 Serials 94 Mathematical Notes 60 Journal of Optimization Theory and Applications 54 Journal of Mathematical Analysis and Applications 48 Journal of Mathematical Sciences (New York) 45 Ukrainian Mathematical Journal 35 Proceedings of the Steklov Institute of Mathematics 34 Journal of Approximation Theory 32 Journal of Complexity 25 Automation and Remote Control 24 Journal of Applied Mathematics and Mechanics 22 Nonlinear Analysis. 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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 Computational Optimization and Applications 3 Theory of Probability and Mathematical Statistics 3 Journal of Inequalities and Applications 3 Journal of Dynamical and Control Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the American Mathematical Society 3 Proceedings of the Japan Academy 3 Nonlinear Oscillations 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Advances in Applied Probability 2 Archive for Rational Mechanics and Analysis 2 International Journal of Systems Science 2 Lithuanian Mathematical Journal ...and 196 more Serials all top 5 Cited in 49 Fields 461 Calculus of variations and optimal control; optimization (49-XX) 218 Operations research, mathematical programming (90-XX) 207 Approximations and expansions (41-XX) 142 Systems theory; control (93-XX) 139 Partial differential equations (35-XX) 127 Functional analysis (46-XX) 99 Statistics (62-XX) 97 Numerical analysis (65-XX) 90 Operator theory (47-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Real functions (26-XX) 57 Probability theory and stochastic processes (60-XX) 52 Ordinary differential equations (34-XX) 49 Computer science (68-XX) 39 Functions of a complex variable (30-XX) 34 Convex and discrete geometry (52-XX) 30 Dynamical systems and ergodic theory (37-XX) 28 Global analysis, analysis on manifolds (58-XX) 28 Fluid mechanics (76-XX) 27 General topology (54-XX) 26 Mechanics of deformable solids (74-XX) 26 Information and communication theory, circuits (94-XX) 24 Measure and integration (28-XX) 22 Mechanics of particles and systems (70-XX) 17 Integral equations (45-XX) 13 Geometry (51-XX) 12 History and biography (01-XX) 12 Differential geometry (53-XX) 12 Biology and other natural sciences (92-XX) 11 Difference and functional equations (39-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Quantum theory (81-XX) 6 Combinatorics (05-XX) 6 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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