Edit Profile (opens in new tab) Nikol’skiĭ, Sergeĭ Mikhaĭlovich Compute Distance To: Compute Author ID: nikolskii.sergei-mikhailovich Published as: Nikol’skij, S. M.; Nikol’skiĭ, S. M.; Nikol’skii, S. M.; Nikolsky, S. M.; Nikolsky, S.; Nikolskij, S. M.; Nikol’skij, S.; Nikolski, S.; Nikolskii, S. M.; Nikolskij, S.; Nikol’skii, Sergei M.; Nikolski, S. M.; Nikol’skiĭ, S.; Nikolskii, S.; Nikol’skii, Sergei Michajłowicz; Nikolskii, Sergei Michajłowicz; Nikol’skij, Sergej M.; Nikol’skiy, S. M.; Nokol’skij, S. M.; Nikolskiĭ, S. M.; Nikolskiĭ, S. more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 323 Publications since 1936, including 41 Books 45 Contributions as Editor · 4 Further Contributions Biographic References: 42 Publications Co-Authors: 189 Co-Authors with 163 Joint Publications 4,766 Co-Co-Authors all top 5 Co-Authors 205 single-authored 46 Lizorkin, Pëtr Ivanovich 28 Kudryavtsev, Lev Dmitrievich 24 Besov, Oleg Vladimirovich 15 Ul’yanov, Pëtr Lavrent’evich 13 Bugrov, Ya. S. 12 Il’in, Vladimir Aleksandrovich 12 Sadovnichiĭ, Viktor Antonovich 10 Gonchar, Andreĭ Aleksandrovich 10 Potapov, Mikhaĭl Konstantinovich 10 Vladimirov, Vasiliĭ Sergeevich 9 Moiseev, Evgeniĭ Ivanovich 8 Emel’yanov, Stanislav Vasil’evich 7 Maslov, Viktor Pavlovich 7 Osipov, Yuriĭ Sergeevich 6 Il’in, Valentin Petrovich 6 Korovin, Sergeĭ Konstantinovich 6 Telyakovskiĭ, Sergeĭ Aleksandrovich 5 Gamkrelidze, Revaz Valerianovich 5 Kashin, Boris Sergeevich 5 Kozlov, Valeriĭ Vasil’evich 5 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 5 Ovsyannikov, Lev Vasil’evich 5 Samarskiĭ, Aleksandr Andreevich 4 Belotserkovskiĭ, Oleg Mikhaĭlovich 4 Erugin, Nikolaĭ Pavlovich 4 Frolov, Yu. N. 4 Novikov, Sergeĭ Petrovich 4 Shemyakina, Tamara Kuz’minichna 4 Sobolev, Sergeĭ L’vovich 3 Anosov, Dmitriĭ Viktorovich 3 D’yachenko, Mikhaĭl Ivanovich 3 Il’in, Arlen Mikhaĭlovich 3 Kirpichnikov, M. P. 3 Kolmogorov, Andreĭ Nikolaevich 3 Korneĭchuk, Nikolaĭ Pavlovich 3 Mineev, Mikhail Petrovich 3 Mitidieri, Enzo Luigi 3 Motornyĭ, Vitaliĭ Pavlovych 3 Oleĭnik, Ol’ga Arsen’evna 3 Prokhorov, Yuriĭ Vasil’evich 3 Tesei, Alberto 3 Véron, Laurent 3 Vitushkin, Anatoliĭ Georgievich 3 Yakovlev, G. N. 3 Zhuravlëv, Yuriĭ Ivanovich 2 Adyan, Sergeĭ Ivanovich 2 Aparicio Bernardo, Emiliano 2 Arkhipov, Gennadiĭ Ivanovich 2 Bakhvalov, Nikolaĭ Sergeevich 2 Chernous’ko, Feliks Leonidovich 2 Cherskii, Yurii Iosifovich 2 Chubarikov, Vladimir Nikolaevich 2 Evgrafov, M. A. 2 Faddeev, Lyudvig Dmitrievich 2 Filippov, Vladimir Mikhaĭlovich 2 Fomenko, Anatoliĭ Timofeevich 2 Gaĭshun, Ivan Vasil’evich 2 Golubov, Boris Ivanovich 2 Il’in, V. I. 2 Izobov, Nikolaĭ Alekseevich 2 Kaz’min, Yu. A. 2 Khvedelidze, Boris V. 2 Konyagin, Sergeĭ Vladimirovich 2 Kurdyumov, Sergeĭ Pavlovich 2 Kurzhanskiĭ, Aleksandr Borisovich 2 Lytvynchuk, Georgiĭ Semenovych 2 Maksudov, Faramaz Gazanfar 2 Marchuk, Guriĭ Ivanovich 2 Markushevich, Alekseĭ Ivanovich 2 Maz’ya, Vladimir Gilelevich 2 Men’shov, Dmitriĭ Evgen’evich 2 Miroshin, N. V. 2 Mishchenko, Evgeniĭ Frolovich 2 Napalkov, Valentin Vasil’evich 2 Nesterenko, Yuriĭ Valentinovich 2 Parshin, Alexei N. 2 Paton, Borys Yevgenovych 2 Pokhozhaev, Stanislav I. 2 Postnikova, L. P. 2 Privalov, Al. A. 2 Ruban, V. I. 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Sedletskiĭ, Anatoliĭ Mechislavovich 2 Skvortsov, Valentin Anatol’evich 2 Taibleson, Mitchell H. 2 Tikhonov, Andreĭ Nikolaevich 2 Vekua, Nikolaĭ Petrovich 2 Velikin, V. L. 2 Volkov, Evgeniĭ Alekseevich 2 Zakharov, Valeriĭ Konstantinovich 2 Zhelobenko, Dmitry Petrovich 2 Zhensykbaev, Alexandr A. 1 Akhiezer, Naum Il’ich 1 Aldoshin, S. M. 1 Aleksandrov, Igor’ Aleksandrovich 1 Alenitsyn, Yuriĭ Evgen’evich 1 Andrunakiewicz, V. A. 1 Arestov, Vitaliĭ Vladimirovich 1 Arnol’d, Vladimir Igorevich 1 Astashkin, Sergeĭ Vladimir ...and 124 more Co-Authors all top 5 Serials 48 Russian Mathematical Surveys 21 Soviet Mathematics. Doklady 19 Uspekhi Matematicheskikh Nauk [N. S.] 19 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 15 Doklady Akademii Nauk SSSR. Novaya Seriya 12 Proceedings of the Steklov Institute of Mathematics 12 Translations. Series 2. American Mathematical Society 10 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 10 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 9 Matematicheskiĭ Sbornik. Novaya Seriya 5 Sibirskiĭ Matematicheskiĭ Zhurnal 5 Russian Academy of Sciences. Doklady. Mathematics 5 Journal of Mathematical Sciences (New York) 5 Differential Equations 4 Doklady Akademii Nauk SSSR 4 Differentsial’nye Uravneniya 3 Acta Scientiarum Mathematicarum 3 Siberian Mathematical Journal 3 East Journal on Approximations 3 Doklady Mathematics 3 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 3 Mathematica 2 Mathematical Notes 2 Differential Equations 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Encyclopaedia of Mathematical Sciences 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Analysis Mathematica 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Acta Mathematica Hungarica 1 Discrete Mathematics and Applications 1 Functional Differential Equations 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Grundlehren der Mathematischen Wissenschaften 1 Studia Mathematica, Seria Specjalna 1 Academia Republicii Populare Romîne, Filiala Cluj, Studii și Cercetări Matematica all top 5 Fields 90 History and biography (01-XX) 71 General and overarching topics; collections (00-XX) 65 Approximations and expansions (41-XX) 60 Functional analysis (46-XX) 43 Real functions (26-XX) 29 Partial differential equations (35-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 18 Functions of a complex variable (30-XX) 13 Several complex variables and analytic spaces (32-XX) 8 Operator theory (47-XX) 7 Special functions (33-XX) 6 Ordinary differential equations (34-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 559 times in 500 Documents Cited by ▼ Year ▼ Integral representations of functions and embedding theorems. (Интеграл’ные представления функции и теоремы влозения.) Zbl 0352.46023Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 112 1975 Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901Nikol’skiĭ, S. M. 90 1969 On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101Nikol’skij, S. M. 39 1961 Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603Nikolsky, S. 33 1946 Integral representations of functions and imbedding theorems. Vol. I. Ed. by Mitchell H. Taibleson. Translation from the Russian. Zbl 0392.46022Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 29 1978 Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024Nikol’skij, S. M. 22 1975 Integral representations of functions and imbedding theorems. 2nd ed., rev. and compl. (Интеграл ь ные представления функций и теоремы вложения.) Zbl 0867.46026Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 19 1996 Collected works. Vol. I: The constructive theory of functions [1905–1930]. (Собрание сочинений. Том I: Конструктивная теория функций [1905–1930]) (Gesammelte Werke. Band I: Konstruktive Funktionentheorie (1905–1930).) Zbl 0047.07301Bernshteĭn, S. N. 19 1952 Integral representations of functions and imbedding theorems. Vol. II. Ed. by Mitchell H. Taiblesson. Translation from the Russian. Zbl 0392.46023Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 16 1979 A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201Lizorkin, P. I.; Nikol’skiĭ, S. M. 13 1965 Linear equations in normed linear spaces. Zbl 0061.26305Nikolsky, S. 11 1943 Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901Nikol’skiĭ, S. 10 1948 Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I. 8 1965 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023Kudryavtsev, L. D.; Nikol’skij, S. M. 7 1988 A course of mathematical analysis. Vol. 1, 2. Transl. from the Russian by V. M. Volosov. 2nd printing. Zbl 0479.00001Nikolsky, S. M. 6 1981 Approximation of functions on a sphere. Zbl 0665.41018Nikol’skij, S. M.; Lizorkin, P. I. 6 1987 Approximation of functions of several variables and imbedding theorems. (Priblizhenie funktsij mnogikh peremennykh i teoremy vlozheniya). 2nd ed., rev. and suppl. Zbl 0496.46020Nikol’skij, S. M. 6 1977 A theorem concerning approximation on the sphere. Zbl 0565.41033Lizorkin, P. I.; Nikol’skij, S. M. 6 1983 Boundary value problem and algebraic polynomials. Zbl 1331.35083Nikolskii, S. M. 6 2002 Inequalities for entire functions of finite degree and their application in the theory of differentiable functions of several variables. (Ungleichungen für ganze Funktionen endlicher Ordnung und ihre Anwendung in der Theorie der differenzierbaren Funktionen mehrerer Veränderlicher.) Zbl 0049.32301Nikol’skij, S. M. 5 1951 Approximation by spherical functions. Zbl 0655.41026Lizorkin, P. I.; Nikol’skij, S. M. 5 1986 Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025Lizorkin, P. I.; Nikol’skij, S. M. 5 1990 On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801Nikolsky, S. 4 1947 Approximation theory on the sphere. Zbl 0635.41019Nikol’skij, S. M.; Lizorkin, P. I. 4 1987 On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203Matveev, I. V.; Nikol’skij, S. M. 4 1963 Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024Nikol’skij, S. M. 3 1988 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032Nikol’skij, S. M. 3 1979 Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. Zbl 0025.15903Nikolski, S. 3 1940 On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804Nikolsky, S. 3 1946 La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704Nikolsky, S. 3 1946 Weighted functional spaces and their application to investigation of boundary value problems for degenerate elliptic equations. Zbl 0679.35030Nikol’skij, S. M.; Lizorkin, P. I.; Miroshin, N. V. 3 1988 Extension of functions of several variables preserving differential properties. Zbl 0189.06007Nikol’skij, S. M. 3 1969 Approximation of functions on the sphere. Zbl 0717.41061Nikol’skij, S. M.; Lizorkin, P. I. 3 1988 A course of mathematical analysis. Vol. 1. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0384.00004Nikol’skii, S. M. 2 1977 Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049Nikol’skij, S. M. 2 1981 Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034Nikol’skij, S. M. 2 1999 Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016Nikol’skij, S. M. 2 1992 Approximation on manifolds. Zbl 0852.41018Nikolskij, S. M. 2 1995 On the question of estimation of approximation by quadrature formulas. (Zur Frage der Abschätzungen von Annäherungen durch Quadraturformeln.) Zbl 0036.32301Nikol’skiĭ, S. M. 2 1950 Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704Nikol’skij, S. M. 2 1954 Boundary properties of functions defined in a region with angular points. I. (Randeigenschaften von Funktionen, die in einem Gebiet mit Eckpunkten definiert sind. I.) Zbl 0073.27702Nikol’skiĭ, S. M. 2 1956 Coercive properties of an elliptic equation with degeneracy and a generalized right-hand side. Zbl 0576.35046Lizorkin, P. I.; Nikol’skij, S. M. 2 1984 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027Kudryavtsev, L. D.; Nikol’skij, S. M. 2 1988 Investigations in the theory of spaces of differentiable functions of several variables. Zbl 0693.46032Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 2 1990 Approximation by spherical polynomials. Zbl 0582.41008Nikol’skij, S. M.; Lizorkin, P. I. 2 1984 Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039Lizorkin, P. I.; Nikol’skij, S. M. 2 1983 Compactness and inequalities for partial derivatives. Zbl 1129.46027Nikol’skii, S. M. 2 2005 Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables. Zbl 0188.37302Nikol’skij, S. M. 2 1969 Über ein Problem von S.L. Sobolev. Zbl 0199.44602Nikol’skij, S. M. 2 1962 Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205Nikol’skij, S. M. 2 1970 An elliptic equation with degeneracy. A variational method. Zbl 0477.35046Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 A course of mathematical analysis. (Kurs matematicheskogo analiza). 5th rev. ed. (Kurs matematicheskogo analiza.) Zbl 1029.00003Nikol’skiĭ, S. M. 1 2000 Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011Nikol’skij, S. M. 1 1961 Functions with dominant mixed derivative satisfying a multiple Hölder condition. Zbl 0271.46027Nikol’skij, S. M. 1 1973 Imbedding theory for classes of differentiable functions of several variables. Zbl 0352.46022Besov, O. V.; Il’in, V. P.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1976 Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011Nikolskii, S. 1 1993 Approximations of functions on manifolds. Zbl 0798.41029Lizorkin, Pjotr I.; Nikol’skij, Sergej M. 1 1993 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejer des fonctions verifiant la condition de Lipschitz. Zbl 0024.39602Nikolski, S. 1 1940 Zur Frage der Lösung der polyharmonischen Gleichung mit der Variationsmethode. Zbl 0053.07403Nikol’skij, S. M. 1 1953 On interpolation and best approximation of differentiable periodic functions by trigonometrical polynomials. Zbl 0060.16808Nikolsky, S. 1 1946 Approximation par polynômes des fonctions verifiant la condition de Lipschitz. Zbl 0061.13303Nikolsky, S. 1 1944 Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705Nikolsky, S. 1 1941 On the Dirichlet problem for regions with corners. Zbl 0074.09201Nikolskij, S. M. 1 1956 Estimations of the remainder of Fejér’s sum for periodical functions possessing a bounded derivative. JFM 67.0220.01Nikolsky, S. M. 1 1941 An asymptotic estimation of the remainder under approximation by interpolating trigonometric polynomials. JFM 67.0220.02Nikolsky, S. M. 1 1941 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejér des fonctions vérifiant la condition de Lipschitz. JFM 66.0279.01Nikolski, S. 1 1940 Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002Nikol’skij, S. M.; Lizorkin, P. I. 1 1987 Investigations on the theory of spaces of differentiable functions of several variables. Zbl 0665.46026Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1988 Symmetric averaged differences on the sphere. Zbl 0672.41004Lizorkin, P. I.; Nikol’skij, S. M. 1 1987 A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere. Zbl 0692.46024Nikol’skij, S. M.; Lizorkin, P. I. 1 1989 Approximation by spherical polynomials. Zbl 0611.41003Nikol’skij, S. M.; Lizorkin, P. I. 1 1986 Coercive properties of an elliptic equation with degeneracy (the case of generalized solutions). Zbl 0504.35044Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 Differential equations. Multiple integrals. Series. Functions of a complex variable. (Differentsial’nye uravneniya. Kratnye integraly. Ryady. Funktsii kompleksnogo peremennogo). Zbl 0511.00001Bugrov, Ya. S.; Nikol’skij, S. M. 1 1981 Fundamentals of linear algebra and analytical geometry. (Ehlementy linejnoj algebry i analiticheskoj geometrii). 2nd ed. Zbl 0536.15001Bugrov, Ya. S.; Nikol’skij, S. M. 1 1984 Coercive properties of an elliptic equation with degeneration and generalized right side. Zbl 0541.35035Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 On some inequalities for weight-class functions and boundary-value problems with a strong degeneracy at the boundary. Zbl 0139.06001Nikol’skij, S. M.; Lizorkin, P. I. 1 1964 Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005Nikol’skij, S. M. 1 1963 The first boundary problem for a general linear equation. Zbl 0168.35402Nikol’skij, S. M. 1 1962 Some boundary problems for the equations with strong degeneration. Zbl 0187.04001Nikolskij, S. 1 1967 Imbedding theorems. Zbl 0206.12204Sobolev, S. L.; Nikol’skij, S. M. 1 1963 Yurii Nikolaevich Subbotin (on his 70th birthday). Zbl 1197.01048Arestov, V. V.; Berdyshev, V. I.; Besov, O. V.; Krasovskii, N. N.; Nikol’skii, S. M.; Novikov, S. I.; Osipov, Yu. S.; Telyakovskii, S. A.; Chernykh, N. I.; Shevaldin, V. T. 1 2007 Yurii Nikolaevich Subbotin (on his 70th birthday). Zbl 1197.01048Arestov, V. V.; Berdyshev, V. I.; Besov, O. V.; Krasovskii, N. N.; Nikol’skii, S. M.; Novikov, S. I.; Osipov, Yu. S.; Telyakovskii, S. A.; Chernykh, N. I.; Shevaldin, V. T. 1 2007 Compactness and inequalities for partial derivatives. Zbl 1129.46027Nikol’skii, S. M. 2 2005 Boundary value problem and algebraic polynomials. Zbl 1331.35083Nikolskii, S. M. 6 2002 A course of mathematical analysis. (Kurs matematicheskogo analiza). 5th rev. ed. (Kurs matematicheskogo analiza.) Zbl 1029.00003Nikol’skiĭ, S. M. 1 2000 The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034Nikol’skij, S. M. 2 1999 Integral representations of functions and imbedding theorems. 2nd ed., rev. and compl. (Интеграл ь ные представления функций и теоремы вложения.) Zbl 0867.46026Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 19 1996 Approximation on manifolds. Zbl 0852.41018Nikolskij, S. M. 2 1995 Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011Nikolskii, S. 1 1993 Approximations of functions on manifolds. Zbl 0798.41029Lizorkin, Pjotr I.; Nikol’skij, Sergej M. 1 1993 Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016Nikol’skij, S. M. 2 1992 Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025Lizorkin, P. I.; Nikol’skij, S. M. 5 1990 Investigations in the theory of spaces of differentiable functions of several variables. Zbl 0693.46032Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 2 1990 A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere. Zbl 0692.46024Nikol’skij, S. M.; Lizorkin, P. I. 1 1989 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023Kudryavtsev, L. D.; Nikol’skij, S. M. 7 1988 Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024Nikol’skij, S. M. 3 1988 Weighted functional spaces and their application to investigation of boundary value problems for degenerate elliptic equations. Zbl 0679.35030Nikol’skij, S. M.; Lizorkin, P. I.; Miroshin, N. V. 3 1988 Approximation of functions on the sphere. Zbl 0717.41061Nikol’skij, S. M.; Lizorkin, P. I. 3 1988 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027Kudryavtsev, L. D.; Nikol’skij, S. M. 2 1988 Investigations on the theory of spaces of differentiable functions of several variables. Zbl 0665.46026Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1988 Approximation of functions on a sphere. Zbl 0665.41018Nikol’skij, S. M.; Lizorkin, P. I. 6 1987 Approximation theory on the sphere. Zbl 0635.41019Nikol’skij, S. M.; Lizorkin, P. I. 4 1987 Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002Nikol’skij, S. M.; Lizorkin, P. I. 1 1987 Symmetric averaged differences on the sphere. Zbl 0672.41004Lizorkin, P. I.; Nikol’skij, S. M. 1 1987 Approximation by spherical functions. Zbl 0655.41026Lizorkin, P. I.; Nikol’skij, S. M. 5 1986 Approximation by spherical polynomials. Zbl 0611.41003Nikol’skij, S. M.; Lizorkin, P. I. 1 1986 Coercive properties of an elliptic equation with degeneracy and a generalized right-hand side. Zbl 0576.35046Lizorkin, P. I.; Nikol’skij, S. M. 2 1984 Approximation by spherical polynomials. Zbl 0582.41008Nikol’skij, S. M.; Lizorkin, P. I. 2 1984 Fundamentals of linear algebra and analytical geometry. (Ehlementy linejnoj algebry i analiticheskoj geometrii). 2nd ed. Zbl 0536.15001Bugrov, Ya. S.; Nikol’skij, S. M. 1 1984 A theorem concerning approximation on the sphere. Zbl 0565.41033Lizorkin, P. I.; Nikol’skij, S. M. 6 1983 Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039Lizorkin, P. I.; Nikol’skij, S. M. 2 1983 Coercive properties of an elliptic equation with degeneration and generalized right side. Zbl 0541.35035Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 A course of mathematical analysis. Vol. 1, 2. Transl. from the Russian by V. M. Volosov. 2nd printing. Zbl 0479.00001Nikolsky, S. M. 6 1981 Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049Nikol’skij, S. M. 2 1981 Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 An elliptic equation with degeneracy. A variational method. Zbl 0477.35046Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 Coercive properties of an elliptic equation with degeneracy (the case of generalized solutions). Zbl 0504.35044Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 Differential equations. Multiple integrals. Series. Functions of a complex variable. (Differentsial’nye uravneniya. Kratnye integraly. Ryady. Funktsii kompleksnogo peremennogo). Zbl 0511.00001Bugrov, Ya. S.; Nikol’skij, S. M. 1 1981 Integral representations of functions and imbedding theorems. Vol. II. Ed. by Mitchell H. Taiblesson. Translation from the Russian. Zbl 0392.46023Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 16 1979 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032Nikol’skij, S. M. 3 1979 Integral representations of functions and imbedding theorems. Vol. I. Ed. by Mitchell H. Taibleson. Translation from the Russian. Zbl 0392.46022Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 29 1978 Approximation of functions of several variables and imbedding theorems. (Priblizhenie funktsij mnogikh peremennykh i teoremy vlozheniya). 2nd ed., rev. and suppl. Zbl 0496.46020Nikol’skij, S. M. 6 1977 A course of mathematical analysis. Vol. 1. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0384.00004Nikol’skii, S. M. 2 1977 Imbedding theory for classes of differentiable functions of several variables. Zbl 0352.46022Besov, O. V.; Il’in, V. P.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1976 Integral representations of functions and embedding theorems. (Интеграл’ные представления функции и теоремы влозения.) Zbl 0352.46023Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 112 1975 Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024Nikol’skij, S. M. 22 1975 Functions with dominant mixed derivative satisfying a multiple Hölder condition. Zbl 0271.46027Nikol’skij, S. M. 1 1973 Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205Nikol’skij, S. M. 2 1970 Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901Nikol’skiĭ, S. M. 90 1969 Extension of functions of several variables preserving differential properties. Zbl 0189.06007Nikol’skij, S. M. 3 1969 Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables. Zbl 0188.37302Nikol’skij, S. M. 2 1969 Some boundary problems for the equations with strong degeneration. Zbl 0187.04001Nikolskij, S. 1 1967 A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201Lizorkin, P. I.; Nikol’skiĭ, S. M. 13 1965 Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I. 8 1965 On some inequalities for weight-class functions and boundary-value problems with a strong degeneracy at the boundary. Zbl 0139.06001Nikol’skij, S. M.; Lizorkin, P. I. 1 1964 On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203Matveev, I. V.; Nikol’skij, S. M. 4 1963 Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005Nikol’skij, S. M. 1 1963 Imbedding theorems. Zbl 0206.12204Sobolev, S. L.; Nikol’skij, S. M. 1 1963 Über ein Problem von S.L. Sobolev. Zbl 0199.44602Nikol’skij, S. M. 2 1962 The first boundary problem for a general linear equation. Zbl 0168.35402Nikol’skij, S. M. 1 1962 On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101Nikol’skij, S. M. 39 1961 Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011Nikol’skij, S. M. 1 1961 Boundary properties of functions defined in a region with angular points. I. (Randeigenschaften von Funktionen, die in einem Gebiet mit Eckpunkten definiert sind. I.) Zbl 0073.27702Nikol’skiĭ, S. M. 2 1956 On the Dirichlet problem for regions with corners. Zbl 0074.09201Nikolskij, S. M. 1 1956 Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704Nikol’skij, S. M. 2 1954 Zur Frage der Lösung der polyharmonischen Gleichung mit der Variationsmethode. Zbl 0053.07403Nikol’skij, S. M. 1 1953 Collected works. Vol. I: The constructive theory of functions [1905–1930]. (Собрание сочинений. Том I: Конструктивная теория функций [1905–1930]) (Gesammelte Werke. Band I: Konstruktive Funktionentheorie (1905–1930).) Zbl 0047.07301Bernshteĭn, S. N. 19 1952 Inequalities for entire functions of finite degree and their application in the theory of differentiable functions of several variables. (Ungleichungen für ganze Funktionen endlicher Ordnung und ihre Anwendung in der Theorie der differenzierbaren Funktionen mehrerer Veränderlicher.) Zbl 0049.32301Nikol’skij, S. M. 5 1951 On the question of estimation of approximation by quadrature formulas. (Zur Frage der Abschätzungen von Annäherungen durch Quadraturformeln.) Zbl 0036.32301Nikol’skiĭ, S. M. 2 1950 Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901Nikol’skiĭ, S. 10 1948 On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801Nikolsky, S. 4 1947 Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603Nikolsky, S. 33 1946 On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804Nikolsky, S. 3 1946 La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704Nikolsky, S. 3 1946 On interpolation and best approximation of differentiable periodic functions by trigonometrical polynomials. Zbl 0060.16808Nikolsky, S. 1 1946 Approximation par polynômes des fonctions verifiant la condition de Lipschitz. Zbl 0061.13303Nikolsky, S. 1 1944 Linear equations in normed linear spaces. Zbl 0061.26305Nikolsky, S. 11 1943 Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705Nikolsky, S. 1 1941 Estimations of the remainder of Fejér’s sum for periodical functions possessing a bounded derivative. JFM 67.0220.01Nikolsky, S. M. 1 1941 An asymptotic estimation of the remainder under approximation by interpolating trigonometric polynomials. JFM 67.0220.02Nikolsky, S. M. 1 1941 Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. Zbl 0025.15903Nikolski, S. 3 1940 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejer des fonctions verifiant la condition de Lipschitz. Zbl 0024.39602Nikolski, S. 1 1940 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejér des fonctions vérifiant la condition de Lipschitz. JFM 66.0279.01Nikolski, S. 1 1940 all cited Publications top 5 cited Publications all top 5 Cited by 561 Authors 19 Sickel, Winfried 11 Simonov, Boris Vital’evich 10 Besov, Oleg Vladimirovich 10 Potapov, Mikhaĭl Konstantinovich 9 Shakhmurov, Veli B. 7 Vinogradov, Oleg Leonidovich 6 Butzer, Paul Leo 6 Mihăilescu, Mihai 6 Rădulescu, Vicenţiu D. 6 Stens, Rudolf L. 6 Vasil’eva, Anastasiya Andreevna 6 Zajączkowski, Wojciech M. 5 Moroşanu, Gheorghe 5 Serdyuk, Anatoly S. 4 Nguyen, Van Kien 4 Romanyuk, Anatolii Sergiiovych 4 Triebel, Hans 4 Xu, Yuan 3 Aliev, Akbar B. 3 Babenko, Vladyslav Fedorovych 3 Burenkov, Viktor Ivanovich 3 Daher, Radouan 3 Dahlke, Stephan 3 Dai, Feng 3 dell’Isola, Francesco 3 Ditzian, Zeev 3 El Ouadih, Salah 3 Eremeyev, Victor A. 3 Georgiadis, Athanasios G. 3 Jiang, Yanjie 3 Kerimov, Movlud Kerimovich 3 Kolomoitsev, Yurii S. 3 Krejčí, Pavel 3 Lasuriya, Robert Andreevich 3 Liu, Yongping 3 Muramatu, Tosinobu 3 Oswald, Peter 3 Pesenson, Isaac Zalmanovich 3 Pucci, Patrizia 3 Romanovskii, N. N. 3 Rovenska, Ol’ga Gennadievna 3 Rukavishnikov, Viktor Anatol’evich 3 Rukavishnikova, Elena I. 3 Temirgaliev, Nurlan Temirgalievich 3 Tikhonov, Sergey Yur’evich 3 Tyr, Othman 3 Ushakova, Elena Pavlovna 3 Zadrzyńska, Ewa 3 Zastavnyĭ, Viktor Petrovich 2 Abdulla, Ugur G. 2 Abilov, M. V. 2 Abilov, Vladimir A. 2 Abo-Sinna, Mahmoud A. 2 Akniev, Gasan Garunovich 2 Babenko, Aleksandr Grigor’evich 2 Bandaliev, Rovshan Alifaga ogly 2 Bashirova, Anar Nabievna 2 Bingham, Nicholas Hugh 2 Boureanu, Maria-Magdalena 2 Cao, Feilong 2 Cartwright, Donald I. 2 Chang, Tongkeun 2 Cleanthous, Galatia 2 Cobos, Fernando 2 Colzani, Leonardo 2 Đinh Nho Hào 2 Dzhumakaeva, G. T. 2 Efromovich, Sam 2 El Hamidi, Abdallah 2 Eleuteri, Michela 2 Esfahani, Amin 2 Feireisl, Eduard 2 Fernandez, Dicesar Lass 2 Führ, Hartmut 2 Ganzburg, Michael Iosifovich 2 Ghazaryan, Hayk G. 2 Gol’dman, Mikhail L’vovich 2 Iskhokov, Sulaĭmon Abunasrovich 2 Ismagilov, T. F. 2 Jin, Bumja 2 Jonsson, Alf 2 Kazimov, Anar A. 2 Konenkov, A. N. 2 Kopfová, Jana 2 Kosov, Egor D. 2 Kühn, Thomas 2 Ligun, A. A. 2 Livšic, Mikhail Samuilovich (Moshe) 2 Magomed-Kasumov, Magomedrasul G. 2 Margaryan, Vachagan N. 2 Medvedev, N. G. 2 Menegatto, Valdir Antonio 2 Netrusov, Yu. V. 2 Nielsen, Morten 2 Novak, Erich 2 Orlov, Vladimir P. 2 Parfinovych, Nataliia Viktorivna 2 Prokhorov, Dmitriĭ Vladimirovich 2 Pykhteev, G. N. 2 Ren, Guangbin ...and 461 more Authors all top 5 Cited in 143 Serials 52 Mathematical Notes 45 Journal of Approximation Theory 29 Journal of Mathematical Analysis and Applications 22 Proceedings of the Steklov Institute of Mathematics 18 Ukrainian Mathematical Journal 15 Journal of Mathematical Sciences (New York) 12 Siberian Mathematical Journal 10 Moscow University Mathematics Bulletin 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Applied Mathematics and Mechanics 9 Journal of Complexity 9 Differential Equations 7 Journal of Differential Equations 7 Journal of Functional Analysis 7 Russian Mathematics 7 Doklady Mathematics 6 Analysis Mathematica 6 Journal of Computational and Applied Mathematics 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Eurasian Mathematical Journal 5 The Annals of Statistics 5 Computational Mathematics and Mathematical Physics 4 Computers & Mathematics with Applications 4 Russian Journal of Mathematical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Soviet Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Constructive Approximation 3 St. Petersburg Mathematical Journal 3 Journal of Inequalities and Applications 3 Matematicheskie Trudy 3 Lobachevskii Journal of Mathematics 3 Nonlinear Analysis. Real World Applications 3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Bulletin de la Société Mathématique de France 2 Czechoslovak Mathematical Journal 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Série V. 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Seriya Matematika, Mekhanika, Informatika 2 Journal of Function Spaces 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Applicable Analysis 1 Ingenieur-Archiv 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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English Series 1 Journal of Integral Equations and Applications ...and 43 more Serials all top 5 Cited in 44 Fields 160 Functional analysis (46-XX) 134 Partial differential equations (35-XX) 122 Approximations and expansions (41-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 47 Operator theory (47-XX) 34 Numerical analysis (65-XX) 26 Fluid mechanics (76-XX) 19 Real functions (26-XX) 17 Functions of a complex variable (30-XX) 17 Ordinary differential equations (34-XX) 17 Mechanics of deformable solids (74-XX) 14 Information and communication theory, circuits (94-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Statistics (62-XX) 9 Integral transforms, operational calculus (44-XX) 8 Probability theory and stochastic processes (60-XX) 7 Special functions (33-XX) 6 Potential theory (31-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Measure and integration (28-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 3 Sequences, series, summability (40-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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