Edit Profile (opens in new tab) Nikol’skiĭ, Sergeĭ Mikhaĭlovich (b. 1905 d. 2012) Co-Author Distance 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 · 2 Further Contributions Biographic References: 42 Publications Co-Authors: 190 Co-Authors with 163 Joint Publications 4,961 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 Aparicio Cortes, Elena 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, Alekseĭ Nikolaevich 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 Andrunakievich, Vladimir Aleksandrovich 1 Arestov, Vitaliĭ Vladimirovich 1 Arnol’d, Vladimir Igorevich ...and 126 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) 29 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 103 Publications have been cited 1,008 times in 867 Documents Cited by ▼ Year ▼ Integral representations of functions and embedding theorems. (Интеграл’ные представления функции и теоремы влозения.) Zbl 0352.46023 Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 142 1975 Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024 Nikol’skij, S. M. 115 1975 Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901 Nikol’skiĭ, S. M. 112 1969 Integral representations of functions and imbedding theorems. Vol. I. Ed. by Mitchell H. Taibleson. Translation from the Russian. Zbl 0392.46022 Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 86 1978 Integral representations of functions and imbedding theorems. 2nd ed., rev. and compl. (Интеграл ь ные представления функций и теоремы вложения.) Zbl 0867.46026 Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 52 1996 Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603 Nikolsky, S. 47 1946 On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101 Nikol’skij, S. M. 44 1961 Approximation of functions of several variables and imbedding theorems. (Priblizhenie funktsij mnogikh peremennykh i teoremy vlozheniya). 2nd ed., rev. and suppl. Zbl 0496.46020 Nikol’skij, S. M. 43 1977 Integral representations of functions and imbedding theorems. Vol. II. Ed. by Mitchell H. Taiblesson. Translation from the Russian. Zbl 0392.46023 Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 38 1979 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 0049.32301 Nikol’skij, S. M. 38 1951 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 0047.07301 Bernshteĭn, S. N. 23 1952 Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901 Nikol’skiĭ, S. 19 1948 Linear equations in normed linear spaces. Zbl 0061.26305 Nikolsky, S. 14 1943 Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025 Lizorkin, P. I.; Nikol’skij, S. M. 13 1990 A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201 Lizorkin, P. I.; Nikol’skiĭ, S. M. 13 1965 On the question of estimation of approximation by quadrature formulas. (Zur Frage der Abschätzungen von Annäherungen durch Quadraturformeln.) Zbl 0036.32301 Nikol’skiĭ, S. M. 13 1950 Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001 Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I. 10 1965 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023 Kudryavtsev, L. D.; Nikol’skij, S. M. 9 1988 Approximation of functions on a sphere. Zbl 0665.41018 Nikol’skij, S. M.; Lizorkin, P. I. 9 1987 A theorem concerning approximation on the sphere. Zbl 0565.41033 Lizorkin, P. I.; Nikol’skij, S. M. 9 1983 On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801 Nikolsky, S. 8 1947 Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005 Nikol’skij, S. M. 7 1963 Ein Einbettungssatz für Funktionen mit partiellen Ableitungen, die in verschiedenen Metriken betrachtet werden. Zbl 0133.37401 Nikol’skij, S. M. 6 1958 A course of mathematical analysis. Vol. 1, 2. Transl. from the Russian by V. M. Volosov. 2nd printing. Zbl 0479.00001 Nikolsky, S. M. 6 1981 Boundary value problem and algebraic polynomials. Zbl 1331.35083 Nikolskii, S. M. 6 2002 Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024 Nikol’skij, S. M. 6 1988 Approximation by spherical functions. Zbl 0655.41026 Lizorkin, P. I.; Nikol’skij, S. M. 5 1986 La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704 Nikolsky, S. 5 1946 Approximation theory on the sphere. Zbl 0635.41019 Nikol’skij, S. M.; Lizorkin, P. I. 4 1987 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027 Kudryavtsev, L. D.; Nikol’skij, S. M. 4 1988 On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203 Matveev, I. V.; Nikol’skij, S. M. 4 1963 Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables. Zbl 0188.37302 Nikol’skij, S. M. 4 1969 Weighted functional spaces and their application to investigation of boundary value problems for degenerate elliptic equations. Zbl 0679.35030 Nikol’skij, S. M.; Lizorkin, P. I.; Miroshin, N. V. 4 1988 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejer des fonctions verifiant la condition de Lipschitz. Zbl 0024.39602 Nikolski, S. 4 1940 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032 Nikol’skij, S. M. 3 1979 Approximation of functions on the sphere. Zbl 0717.41061 Nikol’skij, S. M.; Lizorkin, P. I. 3 1988 Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002 Nikol’skij, S. M.; Lizorkin, P. I. 3 1987 Approximation on manifolds. Zbl 0852.41018 Nikolskij, S. M. 3 1995 Extension of functions of several variables preserving differential properties. Zbl 0189.06007 Nikol’skij, S. M. 3 1969 Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205 Nikol’skij, S. M. 3 1970 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049 Nikol’skij, S. M. 3 1981 Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejér des fonctions vérifiant la condition de Lipschitz. JFM 66.0279.01 Nikolski, S. 3 1940 Compactness and inequalities for partial derivatives. Zbl 1129.46027 Nikol’skii, S. M. 3 2005 Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. Zbl 0025.15903 Nikolski, S. 3 1940 On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804 Nikolsky, S. 3 1946 Course of mathematical analysis. Vol. I. 2nd rev., suppl. ed. (Курс математического анализа. Том I.) Zbl 0346.00002 Nikol’skiĭ, S. M. 2 1975 A course of mathematical analysis. Vol. 1. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0384.00004 Nikol’skii, S. M. 2 1977 The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034 Nikol’skij, S. M. 2 1999 A course of mathematical analysis. Vol. 2. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0397.00003 Nikol’skij, S. M. 2 1977 Coercive properties of an elliptic equation with degeneracy and a generalized right-hand side. Zbl 0576.35046 Lizorkin, P. I.; Nikol’skij, S. M. 2 1984 Approximation by spherical polynomials. Zbl 0582.41008 Nikol’skij, S. M.; Lizorkin, P. I. 2 1984 Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016 Nikol’skij, S. M. 2 1992 Über ein Problem von S.L. Sobolev. Zbl 0199.44602 Nikol’skij, S. M. 2 1962 Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041 Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050 Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039 Lizorkin, P. I.; Nikol’skij, S. M. 2 1983 Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012 2 1991 Investigations in the theory of spaces of differentiable functions of several variables. Zbl 0693.46032 Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 2 1990 Über lineare Methoden zur Summation Fourierscher Reihen. Zbl 0030.02802 Nikolskij, S. M. 2 1948 Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704 Nikol’skij, S. M. 2 1954 On interpolation and best approximation of differentiable periodic functions by trigonometrical polynomials. Zbl 0060.16808 Nikolsky, S. 2 1946 Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705 Nikolsky, S. 2 1941 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 0073.27702 Nikol’skiĭ, S. M. 2 1956 Quadrature formulas. (Kvadraturnye formuly). 3rd ed. With suppl. by N. P. Kornejchuk. Zbl 0447.41001 Nikol’skij, S. M. 1 1979 Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011 Nikol’skij, S. M. 1 1961 Functions with dominant mixed derivative satisfying a multiple Hölder condition. Zbl 0271.46027 Nikol’skij, S. M. 1 1973 Imbedding theory for classes of differentiable functions of several variables. Zbl 0352.46022 Besov, O. V.; Il’in, V. P.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1976 A course of mathematical analysis. (Kurs matematicheskogo analiza). 5th rev. ed. (Kurs matematicheskogo analiza.) Zbl 1029.00003 Nikol’skiĭ, S. M. 1 2000 Approximation on the sphere in \(L_ 2\). Zbl 0601.41035 Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 Approximation by spherical polynomials. Zbl 0611.41003 Nikol’skij, S. M.; Lizorkin, P. I. 1 1986 Investigations on the theory of spaces of differentiable functions of several variables. Zbl 0665.46026 Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1988 Symmetric averaged differences on the sphere. Zbl 0672.41004 Lizorkin, P. I.; Nikol’skij, S. M. 1 1987 Approximations of functions on manifolds. Zbl 0798.41029 Lizorkin, Pjotr I.; Nikol’skij, Sergej M. 1 1993 Approximation on a manifold by algebraic polynomials. Zbl 0904.41002 Nikol’skij, S. M. 1 1995 Über eine Eigenschaft der Klassen \(H_ p^{(r)}\). Zbl 0111.30502 Nikol’skij, S. M. 1 1961 On some inequalities for weight-class functions and boundary-value problems with a strong degeneracy at the boundary. Zbl 0139.06001 Nikol’skij, S. M.; Lizorkin, P. I. 1 1964 Über stabile Randwerte einer differenzierbaren Funktion mehrerer Veränderlicher. Zbl 0166.39701 Nikol’skij, S. M. 1 1963 The first boundary problem for a general linear equation. Zbl 0168.35402 Nikol’skij, S. M. 1 1962 Über eine Methode der Überdeckung eines Gebietes und Ungleichungen für Polynome mehrerer Veränderlichen. Zbl 0173.12101 Nikol’skij, S. M. 1 1966 A variational problem. Zbl 0173.36604 Nikol’skij, S. M. 1 1963 Some boundary problems for the equations with strong degeneration. Zbl 0187.04001 Nikolskij, S. 1 1967 Imbedding theorems. Zbl 0206.12204 Sobolev, S. L.; Nikol’skij, S. M. 1 1963 An elliptic equation with degeneracy. A variational method. Zbl 0477.35046 Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 Fundamentals of linear algebra and analytical geometry. Transl. from the Russian by Leonid Levant. Zbl 0483.15002 Bugrov, Ya. S.; Nikolsky, S. M. 1 1982 Differential and integral calculus. (Differentsial’noe i integral’noe ischislenie). Zbl 0502.26001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1980 Coercive properties of an elliptic equation with degeneracy (the case of generalized solutions). Zbl 0504.35044 Lizorkin, 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 0511.00001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1981 Fundamentals of linear algebra and analytical geometry. (Ehlementy linejnoj algebry i analiticheskoj geometrii). 2nd ed. Zbl 0536.15001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1984 A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere. Zbl 0692.46024 Nikol’skij, S. M.; Lizorkin, P. I. 1 1989 Estimations of the remainder of Fejér’s sum for periodical functions possessing a bounded derivative. JFM 67.0220.01 Nikolsky, S. M. 1 1941 An asymptotic estimation of the remainder under approximation by interpolating trigonometric polynomials. JFM 67.0220.02 Nikolsky, S. M. 1 1941 Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011 Nikolskii, S. 1 1993 Coercive properties of an elliptic equation with degeneration and generalized right side. Zbl 0541.35035 Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 Metric theory of functions and related problems in analysis. Dedicated to Petr Lavrent’evich Ul’yanov on the occasion of his seventieth birthday. Zbl 1181.42002 1 1999 Yurii Nikolaevich Subbotin (on his 70th birthday). Zbl 1197.01048 Arestov, 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 Estimations of the remainder of Fejer’s sum for periodical functions possessing a bounded derivative. Zbl 0025.25502 Nikolsky, S. M. 1 1941 Einige Ungleichungen für ganze Funktionen endlicher Ordnung von mehreren Veränderlichen und ihre Anwendung. Zbl 0043.05603 Nikol’skij, S. M. 1 1951 Eigenschaften gewisser Klassen von Funktionen mehrerer Veränderlicher auf differenzierbaren Mannigfaltigkeiten. Zbl 0052.28702 Nikol’skij, S. M. 1 1953 Zur Frage der Lösung der polyharmonischen Gleichung mit der Variationsmethode. Zbl 0053.07403 Nikol’skij, S. M. 1 1953 Approximations of periodic functions by trigonometrical polynomials. Zbl 0060.16807 Nikol’skiĭ, S. M. 1 1945 Yurii Nikolaevich Subbotin (on his 70th birthday). Zbl 1197.01048 Arestov, 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 1129.46027 Nikol’skii, S. M. 3 2005 Boundary value problem and algebraic polynomials. Zbl 1331.35083 Nikolskii, S. M. 6 2002 A course of mathematical analysis. (Kurs matematicheskogo analiza). 5th rev. ed. (Kurs matematicheskogo analiza.) Zbl 1029.00003 Nikol’skiĭ, S. M. 1 2000 The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034 Nikol’skij, S. M. 2 1999 Metric theory of functions and related problems in analysis. Dedicated to Petr Lavrent’evich Ul’yanov on the occasion of his seventieth birthday. Zbl 1181.42002 1 1999 Integral representations of functions and imbedding theorems. 2nd ed., rev. and compl. (Интеграл ь ные представления функций и теоремы вложения.) Zbl 0867.46026 Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 52 1996 Approximation on manifolds. Zbl 0852.41018 Nikolskij, S. M. 3 1995 Approximation on a manifold by algebraic polynomials. Zbl 0904.41002 Nikol’skij, S. M. 1 1995 Approximations of functions on manifolds. Zbl 0798.41029 Lizorkin, Pjotr I.; Nikol’skij, Sergej M. 1 1993 Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011 Nikolskii, S. 1 1993 Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016 Nikol’skij, S. M. 2 1992 Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012 2 1991 Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025 Lizorkin, P. I.; Nikol’skij, S. M. 13 1990 Investigations in the theory of spaces of differentiable functions of several variables. Zbl 0693.46032 Besov, 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 0692.46024 Nikol’skij, S. M.; Lizorkin, P. I. 1 1989 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023 Kudryavtsev, L. D.; Nikol’skij, S. M. 9 1988 Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024 Nikol’skij, S. M. 6 1988 Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027 Kudryavtsev, L. D.; Nikol’skij, S. M. 4 1988 Weighted functional spaces and their application to investigation of boundary value problems for degenerate elliptic equations. Zbl 0679.35030 Nikol’skij, S. M.; Lizorkin, P. I.; Miroshin, N. V. 4 1988 Approximation of functions on the sphere. Zbl 0717.41061 Nikol’skij, S. M.; Lizorkin, P. I. 3 1988 Investigations on the theory of spaces of differentiable functions of several variables. Zbl 0665.46026 Besov, O. V.; Kudryavtsev, L. D.; Lizorkin, P. I.; Nikol’skij, S. M. 1 1988 Approximation of functions on a sphere. Zbl 0665.41018 Nikol’skij, S. M.; Lizorkin, P. I. 9 1987 Approximation theory on the sphere. Zbl 0635.41019 Nikol’skij, S. M.; Lizorkin, P. I. 4 1987 Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002 Nikol’skij, S. M.; Lizorkin, P. I. 3 1987 Symmetric averaged differences on the sphere. Zbl 0672.41004 Lizorkin, P. I.; Nikol’skij, S. M. 1 1987 Approximation by spherical functions. Zbl 0655.41026 Lizorkin, P. I.; Nikol’skij, S. M. 5 1986 Approximation by spherical polynomials. Zbl 0611.41003 Nikol’skij, S. M.; Lizorkin, P. I. 1 1986 Coercive properties of an elliptic equation with degeneracy and a generalized right-hand side. Zbl 0576.35046 Lizorkin, P. I.; Nikol’skij, S. M. 2 1984 Approximation by spherical polynomials. Zbl 0582.41008 Nikol’skij, S. M.; Lizorkin, P. I. 2 1984 Fundamentals of linear algebra and analytical geometry. (Ehlementy linejnoj algebry i analiticheskoj geometrii). 2nd ed. Zbl 0536.15001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1984 A theorem concerning approximation on the sphere. Zbl 0565.41033 Lizorkin, P. I.; Nikol’skij, S. M. 9 1983 Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039 Lizorkin, P. I.; Nikol’skij, S. M. 2 1983 Approximation on the sphere in \(L_ 2\). Zbl 0601.41035 Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 Coercive properties of an elliptic equation with degeneration and generalized right side. Zbl 0541.35035 Lizorkin, P. I.; Nikol’skij, S. M. 1 1983 Fundamentals of linear algebra and analytical geometry. Transl. from the Russian by Leonid Levant. Zbl 0483.15002 Bugrov, Ya. S.; Nikolsky, S. M. 1 1982 A course of mathematical analysis. Vol. 1, 2. Transl. from the Russian by V. M. Volosov. 2nd printing. Zbl 0479.00001 Nikolsky, S. M. 6 1981 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049 Nikol’skij, S. M. 3 1981 Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041 Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050 Lizorkin, P. I.; Nikol’skij, S. M. 2 1981 An elliptic equation with degeneracy. A variational method. Zbl 0477.35046 Lizorkin, P. I.; Nikol’skij, S. M. 1 1981 Coercive properties of an elliptic equation with degeneracy (the case of generalized solutions). Zbl 0504.35044 Lizorkin, 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 0511.00001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1981 Differential and integral calculus. (Differentsial’noe i integral’noe ischislenie). Zbl 0502.26001 Bugrov, Ya. S.; Nikol’skij, S. M. 1 1980 Integral representations of functions and imbedding theorems. Vol. II. Ed. by Mitchell H. Taiblesson. Translation from the Russian. Zbl 0392.46023 Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 38 1979 A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032 Nikol’skij, S. M. 3 1979 Quadrature formulas. (Kvadraturnye formuly). 3rd ed. With suppl. by N. P. Kornejchuk. Zbl 0447.41001 Nikol’skij, S. M. 1 1979 Integral representations of functions and imbedding theorems. Vol. I. Ed. by Mitchell H. Taibleson. Translation from the Russian. Zbl 0392.46022 Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M. 86 1978 Approximation of functions of several variables and imbedding theorems. (Priblizhenie funktsij mnogikh peremennykh i teoremy vlozheniya). 2nd ed., rev. and suppl. Zbl 0496.46020 Nikol’skij, S. M. 43 1977 A course of mathematical analysis. Vol. 1. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0384.00004 Nikol’skii, S. M. 2 1977 A course of mathematical analysis. Vol. 2. Translated from the Russian by V. M. Volosov. Revised from the 1975 Russian ed. Zbl 0397.00003 Nikol’skij, S. M. 2 1977 Imbedding theory for classes of differentiable functions of several variables. Zbl 0352.46022 Besov, 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 0352.46023 Besov, O. V.; Il’in, V. P.; Nikol’skiĭ, S. M. 142 1975 Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024 Nikol’skij, S. M. 115 1975 Course of mathematical analysis. Vol. I. 2nd rev., suppl. ed. (Курс математического анализа. Том I.) Zbl 0346.00002 Nikol’skiĭ, S. M. 2 1975 Functions with dominant mixed derivative satisfying a multiple Hölder condition. Zbl 0271.46027 Nikol’skij, S. M. 1 1973 Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205 Nikol’skij, S. M. 3 1970 Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901 Nikol’skiĭ, S. M. 112 1969 Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables. Zbl 0188.37302 Nikol’skij, S. M. 4 1969 Extension of functions of several variables preserving differential properties. Zbl 0189.06007 Nikol’skij, S. M. 3 1969 Some boundary problems for the equations with strong degeneration. Zbl 0187.04001 Nikolskij, S. 1 1967 Über eine Methode der Überdeckung eines Gebietes und Ungleichungen für Polynome mehrerer Veränderlichen. Zbl 0173.12101 Nikol’skij, S. M. 1 1966 A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201 Lizorkin, P. I.; Nikol’skiĭ, S. M. 13 1965 Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001 Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I. 10 1965 On some inequalities for weight-class functions and boundary-value problems with a strong degeneracy at the boundary. Zbl 0139.06001 Nikol’skij, S. M.; Lizorkin, P. I. 1 1964 Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005 Nikol’skij, S. M. 7 1963 On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203 Matveev, I. V.; Nikol’skij, S. M. 4 1963 Über stabile Randwerte einer differenzierbaren Funktion mehrerer Veränderlicher. Zbl 0166.39701 Nikol’skij, S. M. 1 1963 A variational problem. Zbl 0173.36604 Nikol’skij, S. M. 1 1963 Imbedding theorems. Zbl 0206.12204 Sobolev, S. L.; Nikol’skij, S. M. 1 1963 Über ein Problem von S.L. Sobolev. Zbl 0199.44602 Nikol’skij, S. M. 2 1962 The first boundary problem for a general linear equation. Zbl 0168.35402 Nikol’skij, S. M. 1 1962 On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101 Nikol’skij, S. M. 44 1961 Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011 Nikol’skij, S. M. 1 1961 Über eine Eigenschaft der Klassen \(H_ p^{(r)}\). Zbl 0111.30502 Nikol’skij, S. M. 1 1961 Ein Einbettungssatz für Funktionen mit partiellen Ableitungen, die in verschiedenen Metriken betrachtet werden. Zbl 0133.37401 Nikol’skij, S. M. 6 1958 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 0073.27702 Nikol’skiĭ, S. M. 2 1956 On the Dirichlet problem for regions with corners. Zbl 0074.09201 Nikolskij, S. M. 1 1956 Über eine Familie von Funktionalräumen. Zbl 0074.09306 Nikolskij, S. M. 1 1956 Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704 Nikol’skij, S. M. 2 1954 Eigenschaften gewisser Klassen von Funktionen mehrerer Veränderlicher auf differenzierbaren Mannigfaltigkeiten. Zbl 0052.28702 Nikol’skij, S. M. 1 1953 Zur Frage der Lösung der polyharmonischen Gleichung mit der Variationsmethode. Zbl 0053.07403 Nikol’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 0047.07301 Bernshteĭn, S. N. 23 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 0049.32301 Nikol’skij, S. M. 38 1951 Einige Ungleichungen für ganze Funktionen endlicher Ordnung von mehreren Veränderlichen und ihre Anwendung. Zbl 0043.05603 Nikol’skij, S. M. 1 1951 On the question of estimation of approximation by quadrature formulas. (Zur Frage der Abschätzungen von Annäherungen durch Quadraturformeln.) Zbl 0036.32301 Nikol’skiĭ, S. M. 13 1950 Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901 Nikol’skiĭ, S. 19 1948 Über lineare Methoden zur Summation Fourierscher Reihen. Zbl 0030.02802 Nikolskij, S. M. 2 1948 On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801 Nikolsky, S. 8 1947 Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603 Nikolsky, S. 47 1946 La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704 Nikolsky, S. 5 1946 On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804 Nikolsky, S. 3 1946 On interpolation and best approximation of differentiable periodic functions by trigonometrical polynomials. Zbl 0060.16808 Nikolsky, S. 2 1946 Approximations of periodic functions by trigonometrical polynomials. Zbl 0060.16807 Nikol’skiĭ, S. M. 1 1945 Approximation par polynômes des fonctions verifiant la condition de Lipschitz. Zbl 0061.13303 Nikolsky, S. 1 1944 Linear equations in normed linear spaces. Zbl 0061.26305 Nikolsky, S. 14 1943 Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705 Nikolsky, S. 2 1941 Estimations of the remainder of Fejér’s sum for periodical functions possessing a bounded derivative. JFM 67.0220.01 Nikolsky, S. M. 1 1941 An asymptotic estimation of the remainder under approximation by interpolating trigonometric polynomials. JFM 67.0220.02 Nikolsky, S. M. 1 1941 Estimations of the remainder of Fejer’s sum for periodical functions possessing a bounded derivative. Zbl 0025.25502 Nikolsky, S. M. 1 1941 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 909 Authors 23 Sickel, Winfried 16 Besov, Oleg Vladimirovich 13 Simonov, Boris Vital’evich 12 Daher, Radouan 11 Potapov, Mikhaĭl Konstantinovich 10 Shakhmurov, Veli B. 10 Zajączkowski, Wojciech M. 9 Romanyuk, Anatolii Sergiiovych 9 Serdyuk, Anatoly S. 9 Triebel, Hans 8 Tyr, Othman 7 Babenko, Vladyslav Fedorovych 7 Hayotov, Abdullo Rakhmonovich 7 Kosov, Egor D. 7 Vinogradov, Oleg Leonidovich 6 Abdullayev, Fahreddin G. 6 Butzer, Paul Leo 6 Ganzburg, Michael Iosifovich 6 Gol’dman, Mikhail L’vovich 6 Krejčí, Pavel 6 Mihăilescu, Mihai 6 Nguyen, Van Kien 6 Pesenson, Isaac Zalmanovich 6 Rădulescu, Vicenţiu D. 6 Rovenska, Ol’ga Gennadievna 6 Stens, Rudolf L. 6 Vasil’eva, Anastasiya Andreevna 6 Yang, Dachun 5 Abdulla, Ugur G. 5 Jiang, Yanjie 5 Liu, Yongping 5 Moroșanu, Gheorghe 5 Özkartepe, Naciye Pelin 5 Pyatkov, Sergeĭ Grigor’evich 5 Shadimetov, Kholmat Mahkambaevich 4 Akdim, Youssef 4 Akishev, Gabdolla Akishevich 4 Aliev, Akbar B. 4 Burenkov, Viktor Ivanovich 4 Dahlke, Stephan 4 Ditzian, Zeev 4 Efromovich, Sam 4 Esfahani, Amin 4 Georgiadis, Athanasios G. 4 Hembars’ka, Svitlana Borysivna 4 Karshygina, Gulden Zhumabekkyzy 4 Kolomoitsev, Yurii S. 4 Lalaoui Rhali, Soumia 4 Nazarov, Alexander I. 4 Netrusov, Yu. V. 4 Parfinovych, Nataliia Viktorivna 4 Potseĭko, Pavel Gennad’evich 4 Stasyuk, Serhii A. 4 Temirgaliev, Nurlan Temirgalievich 4 Tikhonov, Sergey Yur’evich 4 Xu, Yuan 4 Yanchenko, Serhii Ya. 4 Yuan, Wen 3 Apushkinskaya, Darya E. 3 Arestov, Vitaliĭ Vladimirovich 3 Cleanthous, Galatia 3 Dai, Feng 3 Danchenko, Vladimir Il’ich 3 Deikalova, Marina Valer’evna 3 dell’Isola, Francesco 3 Dominguez, Oscar 3 Drihem, Douadi 3 Dzhabrailov, A. L. 3 El Ouadih, Salah 3 Elharch, Rachid 3 Eremeyev, Victor A. 3 Faminskii, Andrei V. 3 Fang, Gensun 3 Fedunyk-Yaremchuk, Oksana Volodymyrivna 3 Gavioli, Chiara 3 Ghazaryan, Hayk G. 3 Goldenshluger, Alexander 3 Gorbachëv, Dmitriĭ Viktorovich 3 Haroske, Dorothee D. 3 Hassib, Moulay Cherif 3 Ivanov, Valerĭ Ivanovich 3 Kerimov, Movlud Kerimovich 3 Kolyada, Viktor Ivanovich 3 Konenkov, A. N. 3 Kozlov, Vladimir A. 3 Lasuriya, Robert Andreevich 3 Lepskiĭ, Oleg Vital’evich 3 Makin, Alexander S. 3 Margaryan, Vachagan N. 3 Muramatu, Tosinobu 3 Nielsen, Morten 3 Nigam, Hare Krishna 3 Osipenko, Konstantin Yur’evich 3 Oswald, Peter 3 Persson, Lars-Erik 3 Platonov, Sergei S. 3 Pucci, Patrizia 3 Romanovskii, N. N. 3 Rovba, Ye. A. 3 Rukavishnikov, Viktor Anatol’evich ...and 809 more Authors all top 5 Cited in 240 Serials 60 Journal of Approximation Theory 57 Mathematical Notes 37 Proceedings of the Steklov Institute of Mathematics 34 Journal of Mathematical Analysis and Applications 33 Ukrainian Mathematical Journal 32 Journal of Mathematical Sciences (New York) 23 Differential Equations 17 Siberian Mathematical Journal 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Complexity 12 Annali di Matematica Pura ed Applicata. 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