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Nikol’skiĭ, Sergeĭ Mikhaĭlovich

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Author ID: nikolskii.sergei-mikhailovich Recent zbMATH articles by "Nikol’skiĭ, Sergeĭ Mikhaĭlovich"
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.
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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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, Nikolai 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 Mikhailovich
2 Fomenko, Anatoliĭ Timofeevich
2 Gaĭshun, Ivan Vasil’vich
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
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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

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 564 times in 493 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.
109
1975
Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901
Nikol’skiĭ, S. M.
90
1969
On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101
Nikol’skij, S. M.
39
1961
Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603
Nikolsky, S.
31
1946
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.
29
1978
Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024
Nikol’skij, S. M.
22
1975
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.
19
1952
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.
16
1996
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.
15
1979
A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201
Lizorkin, P. I.; Nikol’skiĭ, S. M.
12
1965
Linear equations in normed linear spaces. Zbl 0061.26305
Nikolsky, S.
11
1943
Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901
Nikol’skiĭ, S.
10
1948
Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001
Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I.
8
1965
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023
Kudryavtsev, L. D.; Nikol’skij, S. M.
7
1988
Approximation of functions on a sphere. Zbl 0665.41018
Nikol’skij, S. M.; Lizorkin, P. I.
6
1987
A theorem concerning approximation on the sphere. Zbl 0565.41033
Lizorkin, P. I.; Nikol’skij, S. M.
6
1983
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
Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025
Lizorkin, P. I.; Nikol’skij, S. M.
5
1990
Approximation by spherical functions. Zbl 0655.41026
Lizorkin, P. I.; Nikol’skij, S. M.
5
1986
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.
5
1977
Approximation theory on the sphere. Zbl 0635.41019
Nikol’skij, S. M.; Lizorkin, P. I.
4
1987
On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801
Nikolsky, S.
4
1947
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.
4
1951
On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203
Matveev, I. V.; Nikol’skij, S. M.
4
1963
Approximation of functions on the sphere. Zbl 0717.41061
Nikol’skij, S. M.; Lizorkin, P. I.
3
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.
3
1988
Extension of functions of several variables preserving differential properties. Zbl 0189.06007
Nikol’skij, S. M.
3
1969
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). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024
Nikol’skij, S. M.
3
1988
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
La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704
Nikolsky, S.
3
1946
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
Approximation by spherical polynomials. Zbl 0582.41008
Nikol’skij, S. M.; Lizorkin, P. I.
2
1984
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.
2
1969
Über ein Problem von S.L. Sobolev. Zbl 0199.44602
Nikol’skij, S. M.
2
1962
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
Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039
Lizorkin, P. I.; Nikol’skij, S. M.
2
1983
The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034
Nikol’skij, S. M.
2
1999
Approximation on manifolds. Zbl 0852.41018
Nikolskij, S. M.
2
1995
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
Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041
Lizorkin, P. I.; Nikol’skij, S. M.
2
1981
A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049
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
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.
2
1950
Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704
Nikol’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 0073.27702
Nikol’skiĭ, S. M.
2
1956
Compactness and inequalities for partial derivatives. Zbl 1129.46027
Nikol’skii, S. M.
2
2005
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027
Kudryavtsev, L. D.; Nikol’skij, S. M.
2
1988
Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016
Nikol’skij, S. M.
2
1992
Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002
Nikol’skij, S. M.; Lizorkin, P. I.
1
1987
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
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
Approximation by spherical polynomials. Zbl 0611.41003
Nikol’skij, S. M.; Lizorkin, P. I.
1
1986
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
Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205
Nikol’skij, S. M.
1
1970
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
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
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
Coercive properties of an elliptic equation with degeneration and generalized right side. Zbl 0541.35035
Lizorkin, P. I.; Nikol’skij, S. M.
1
1983
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
A course of mathematical analysis. (Kurs matematicheskogo analiza). 5th rev. ed. (Kurs matematicheskogo analiza.) Zbl 1029.00003
Nikol’skiĭ, S. M.
1
2000
Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011
Nikolskii, S.
1
1993
An elliptic equation with degeneracy. A variational method. Zbl 0477.35046
Lizorkin, P. I.; Nikol’skij, S. M.
1
1981
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
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.
1
1940
Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejer des fonctions verifiant la condition de Lipschitz. Zbl 0024.39602
Nikolski, S.
1
1940
Zur Frage der Lösung der polyharmonischen Gleichung mit der Variationsmethode. Zbl 0053.07403
Nikol’skij, S. M.
1
1953
Approximation par polynômes des fonctions verifiant la condition de Lipschitz. Zbl 0061.13303
Nikolsky, S.
1
1944
Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705
Nikolsky, S.
1
1941
On the Dirichlet problem for regions with corners. Zbl 0074.09201
Nikolskij, S. M.
1
1956
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.
1
1963
The first boundary problem for a general linear equation. Zbl 0168.35402
Nikol’skij, S. M.
1
1962
Approximations of functions on manifolds. Zbl 0798.41029
Lizorkin, Pjotr I.; Nikol’skij, Sergej M.
1
1993
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.
2
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
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.
16
1996
Approximation on manifolds. Zbl 0852.41018
Nikolskij, S. M.
2
1995
Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011
Nikolskii, S.
1
1993
Approximations of functions on manifolds. Zbl 0798.41029
Lizorkin, Pjotr I.; Nikol’skij, Sergej M.
1
1993
Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016
Nikol’skij, S. M.
2
1992
Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025
Lizorkin, P. I.; Nikol’skij, S. M.
5
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.
7
1988
Approximation of functions on the sphere. Zbl 0717.41061
Nikol’skij, S. M.; Lizorkin, P. I.
3
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.
3
1988
Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024
Nikol’skij, S. M.
3
1988
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027
Kudryavtsev, L. D.; Nikol’skij, S. M.
2
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.
6
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.
1
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
Approximation by spherical polynomials. Zbl 0582.41008
Nikol’skij, S. M.; Lizorkin, P. I.
2
1984
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
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.
6
1983
Coercive properties of elliptic equations with degeneracies. Variational methods. Zbl 0518.35039
Lizorkin, P. I.; Nikol’skij, S. M.
2
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
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
Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041
Lizorkin, P. I.; Nikol’skij, S. M.
2
1981
A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049
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 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
An elliptic equation with degeneracy. A variational method. Zbl 0477.35046
Lizorkin, P. I.; 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 0392.46023
Besov, Oleg V.; Il’in, Valentin P.; Nikol’skii, Sergei M.
15
1979
A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032
Nikol’skij, S. M.
3
1979
Integral representations of functions and imbedding theorems. Vol. I. Ed. by Mitchell H. Taibleson. Translation from the Russian. Zbl 0392.46022
Besov, 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 0496.46020
Nikol’skij, S. M.
5
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
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.
109
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.
22
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.
1
1970
Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901
Nikol’skiĭ, S. M.
90
1969
Extension of functions of several variables preserving differential properties. Zbl 0189.06007
Nikol’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 0188.37302
Nikol’skij, S. M.
2
1969
Some boundary problems for the equations with strong degeneration. Zbl 0187.04001
Nikolskij, S.
1
1967
A classification of differentiable functions in some fundamental spaces with dominant mixed derivative. Zbl 0165.47201
Lizorkin, P. I.; Nikol’skiĭ, S. M.
12
1965
Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001
Nikolsky, 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 0139.06001
Nikol’skij, S. M.; Lizorkin, P. I.
1
1964
On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203
Matveev, I. V.; Nikol’skij, S. M.
4
1963
Imbedding theorems. Zbl 0206.12204
Sobolev, S. L.; Nikol’skij, S. M.
1
1963
Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005
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.
39
1961
Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011
Nikol’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 0073.27702
Nikol’skiĭ, S. M.
2
1956
On the Dirichlet problem for regions with corners. Zbl 0074.09201
Nikolskij, S. M.
1
1956
Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704
Nikol’skij, S. M.
2
1954
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.
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 0049.32301
Nikol’skij, S. M.
4
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.
2
1950
Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901
Nikol’skiĭ, S.
10
1948
On the best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801
Nikolsky, S.
4
1947
Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603
Nikolsky, S.
31
1946
On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804
Nikolsky, S.
3
1946
La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704
Nikolsky, S.
3
1946
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.
11
1943
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
Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705
Nikolsky, S.
1
1941
Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. Zbl 0025.15903
Nikolski, S.
3
1940
Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejér des fonctions vérifiant la condition de Lipschitz. JFM 66.0279.01
Nikolski, S.
1
1940
Sur l’allure asymptotique du reste dans l’approximation au moyen des sommes de Fejer des fonctions verifiant la condition de Lipschitz. Zbl 0024.39602
Nikolski, S.
1
1940
all top 5

Cited by 556 Authors

19 Sickel, Winfried
10 Besov, Oleg Vladimirovich
9 Shakhmurov, Veli B.
9 Simonov, Boris Vital’evich
8 Potapov, Mikhaĭl Konstantinovich
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
4 Nguyen, Van Kien
4 Romanyuk, Anatolii Sergiiovych
4 Serdyuk, Anatoly S.
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 Pesenson, Isaac Zalmanovich
3 Pucci, Patrizia
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, M. 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 Oswald, Peter
2 Parfinovych, Nataliia Viktorivna
2 Prokhorov, Dmitriĭ Vladimirovich
2 Pykhteev, G. N.
2 Ren, Guangbin
2 Romanovskii, N. N.
...and 456 more Authors
all top 5

Cited in 142 Serials

52 Mathematical Notes
45 Journal of Approximation Theory
29 Journal of Mathematical Analysis and Applications
22 Proceedings of the Steklov Institute of Mathematics
17 Ukrainian Mathematical Journal
15 Journal of Mathematical Sciences (New York)
12 Siberian Mathematical Journal
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
8 Moscow University Mathematics Bulletin
7 Journal of Differential Equations
7 Journal of Functional Analysis
7 Doklady Mathematics
6 Analysis Mathematica
6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
6 Russian Mathematics
6 Eurasian Mathematical Journal
5 The Annals of Statistics
5 Journal of Computational and Applied Mathematics
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. Mathématiques
2 Applied Mathematics Letters
2 The Journal of Geometric Analysis
2 Applied and Computational Harmonic Analysis
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Acta Mathematica Sinica. English Series
2 Fixed Point Theory and Applications
2 PMM, Journal of Applied Mathematics and Mechanics
2 Complex Variables and Elliptic Equations
2 Chebyshevskiĭ Sbornik
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Probability Surveys
2 Science China. Mathematics
2 Journal of Pseudo-Differential Operators and Applications
2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
2 Journal of Function Spaces
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. Serie IV
1 Applied Mathematics and Optimization
1 BIT
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Real Analysis Exchange
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 Neural Networks
...and 42 more Serials
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Cited in 44 Fields

158 Functional analysis (46-XX)
131 Partial differential equations (35-XX)
119 Approximations and expansions (41-XX)
106 Harmonic analysis on Euclidean spaces (42-XX)
46 Operator theory (47-XX)
33 Numerical analysis (65-XX)
26 Fluid mechanics (76-XX)
19 Real functions (26-XX)
17 Functions of a complex variable (30-XX)
17 Mechanics of deformable solids (74-XX)
16 Ordinary differential equations (34-XX)
13 Information and communication theory, circuits (94-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
9 Integral transforms, operational calculus (44-XX)
9 Statistics (62-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 General and overarching topics; collections (00-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 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

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