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Nikol’skiĭ, Sergeĭ Mikhaĭlovich (b. 1905 d. 2012)

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.
Further Spellings: Никольский Сергей Михайлович
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

205 single-authored
46 Lizorkin, Pëtr Ivanovich
29 Kudryavtsev, Lev Dmitrievich
25 Besov, Oleg Vladimirovich
16 Ul’yanov, Pëtr Lavrent’evich
13 Bugrov, Ya. S.
13 Sadovnichiĭ, Viktor Antonovich
12 Il’in, Vladimir Aleksandrovich
11 Gonchar, Andreĭ Aleksandrovich
10 Potapov, Mikhaĭl Konstantinovich
10 Vladimirov, Vasiliĭ Sergeevich
9 Moiseev, Evgeniĭ Ivanovich
8 Emel’yanov, Stanislav Vasil’evich
8 Osipov, Yuriĭ Sergeevich
7 Maslov, Viktor Pavlovich
7 Telyakovskiĭ, Sergeĭ Aleksandrovich
6 Il’in, Valentin Petrovich
6 Korovin, Sergeĭ Konstantinovich
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
4 Vitushkin, Anatoliĭ Georgievich
3 Anosov, Dmitriĭ Viktorovich
3 D’yachenko, Mikhaĭl Ivanovich
3 Il’in, Arlen Mikhaĭlovich
3 Kirpichnikov, M. P.
3 Kolmogorov, Andreĭ Nikolaevich
3 Konyagin, Sergeĭ Vladimirovich
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 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 Chernykh, Nikolaĭ Ivanovich
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 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
...and 132 more Co-Authors
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Serials

49 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

123 Publications have been cited 1,925 times in 1,575 Documents Cited by Year
Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024
Nikol’skij, S. M.
318
1975
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.
218
1975
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.
198
1978
Approximation of functions of several variables and imbedding theorems. (Приближение функциймногих переменных и теоремы вложения.) Zbl 0185.37901
Nikol’skiĭ, S. M.
165
1969
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.
146
1977
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.
84
1951
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.
80
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.
75
1979
Approximation of functions in the mean by trigonometrical polynomials. Zbl 0061.13603
Nikolsky, S.
56
1946
On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101
Nikol’skij, S. M.
55
1961
Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025
Lizorkin, P. I.; Nikol’skij, S. M.
44
1990
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.
28
1950
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.
27
1952
Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024
Nikol’skij, S. M.
26
1988
Funktionen mit vorherrschend gemischter Ableitung, die einer mehrfachen Hölderschen Bedingung genügen. Zbl 0139.07005
Nikol’skij, S. M.
25
1963
Verallgemeinerung einer Ungleichung von S. N. Bernstein. Zbl 0034.03901
Nikol’skiĭ, S.
21
1948
Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012
19
1991
Ein Einbettungssatz für Funktionen mit partiellen Ableitungen, die in verschiedenen Metriken betrachtet werden. Zbl 0133.37401
Nikol’skij, S. M.
19
1958
Linear equations in normed linear spaces. Zbl 0061.26305
Nikolsky, S.
18
1943
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 best approximation in the mean to the function \(| a-x|^s\) by polynomials. Zbl 0029.02801
Nikolsky, S.
13
1947
La série de Fourier d’une fonction dont le module de continuite est donne. Zbl 0061.13704
Nikolsky, S.
13
1946
Integral representation and isomorphism properties of some classes of functions. Zbl 0151.18001
Nikolsky, S. M.; Lions, J. L.; Lizorkin, L. I.
10
1965
Quadrature formulas. (Kvadraturnye formuly). 3rd ed. With suppl. by N. P. Kornejchuk. Zbl 0447.41001
Nikol’skij, S. M.
9
1979
Approximation of functions on a sphere. Zbl 0665.41018
Nikol’skij, S. M.; Lizorkin, P. I.
9
1987
On the best approximation of functions satisfying Lipschitz’s conditions by polynomials. Zbl 0060.16804
Nikolsky, S.
9
1946
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023
Kudryavtsev, L. D.; Nikol’skij, S. M.
9
1988
A theorem concerning approximation on the sphere. Zbl 0565.41033
Lizorkin, P. I.; Nikol’skij, S. M.
9
1983
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027
Kudryavtsev, L. D.; Nikol’skij, S. M.
8
1988
Über stabile Randwerte einer differenzierbaren Funktion mehrerer Veränderlicher. Zbl 0166.39701
Nikol’skij, S. M.
7
1963
Über eine Methode der Überdeckung eines Gebietes und Ungleichungen für Polynome mehrerer Veränderlichen. Zbl 0173.12101
Nikol’skij, S. M.
7
1966
Approximations of periodic functions by trigonometrical polynomials. Zbl 0060.16807
Nikol’skiĭ, S. M.
7
1945
Boundary value problem and algebraic polynomials. Zbl 1331.35083
Nikolskii, S. M.
6
2002
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
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.
6
1969
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.
6
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.
6
1977
Über lineare Methoden zur Summation Fourierscher Reihen. Zbl 0030.02802
Nikolskij, S. M.
6
1948
A course of mathematical analysis. Vol. 2. Textbook. (Kurs matematicheskogo analiza. Tom 2. Uchebnik). 4th ed., rev. and compl. (Kurs matematicheskogo analiza. Tom 2. Uchebnik.) Zbl 0727.00001
Nikol’skij, S. M.
5
1991
Approximation by spherical functions. Zbl 0655.41026
Lizorkin, P. I.; Nikol’skij, S. M.
5
1986
Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002
Nikol’skij, S. M.; Lizorkin, P. I.
5
1987
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.
5
1940
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.
5
1988
Differential and integral calculus. (Differentsial’noe i integral’noe ischislenie). Zbl 0502.26001
Bugrov, Ya. S.; Nikol’skij, S. M.
4
1980
The first boundary problem for a general linear equation. Zbl 0168.35402
Nikol’skij, S. M.
4
1962
Extension of functions of several variables preserving differential properties. Zbl 0189.06007
Nikol’skij, S. M.
4
1969
Approximation theory on the sphere. Zbl 0635.41019
Nikol’skij, S. M.; Lizorkin, P. I.
4
1987
On the combining of functions of class \(H_ p^{(\alpha)}\). Zbl 0139.30203
Matveev, I. V.; Nikol’skij, S. M.
4
1963
A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0475.35049
Nikol’skij, S. M.
3
1981
Elements of mathematical analysis. Transl. from the Russian by Oscar Sheynin. Zbl 0512.00001
Nikol’skiĭ, S. M.
3
1983
Compactness and inequalities for partial derivatives. Zbl 1129.46027
Nikol’skii, S. M.
3
2005
Properties of differentiable functions of several variables at the boundary of their domain of definition. Zbl 0196.44302
Nikol’skij, S. M.
3
1962
Approximation on manifolds. Zbl 0852.41018
Nikolskij, S. M.
3
1995
Imbedding theorems for functions with partial derivatives considered in various metrics. Zbl 0206.12205
Nikol’skij, S. M.
3
1970
A course of mathematical analysis. Vol. 1. Textbook. 4th ed., rev. and compl. (Курс математического анализа. Том 1. Учебник.) Zbl 0723.00003
Nikol’skiĭ, S. M.
3
1990
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
A variational problem for an equation of elliptic type with degeneration on the boundary. Zbl 0416.35032
Nikol’skij, S. M.
3
1979
Einige Ungleichungen für ganze Funktionen endlicher Ordnung von mehreren Veränderlichen und ihre Anwendung. Zbl 0043.05603
Nikol’skij, S. M.
3
1951
Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. Zbl 0025.15903
Nikolski, S.
3
1940
Über das Dirichletsche Problem für den Kreis und den Halbraum. Zbl 0057.08704
Nikol’skij, S. M.
3
1954
Eigenschaften gewisser Klassen von Funktionen mehrerer Veränderlicher auf differenzierbaren Mannigfaltigkeiten. Zbl 0052.28702
Nikol’skij, S. M.
3
1953
Sur l’evaluation asymptotique du reste dans l’approximation au moyen des sommes de Fourier. Zbl 0061.13705
Nikolsky, S.
3
1941
Approximation of functions on the sphere. Zbl 0717.41061
Nikol’skij, S. M.; Lizorkin, P. I.
3
1988
Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050
Lizorkin, P. I.; Nikol’skij, S. M.
2
1981
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
2
1999
Approximations of functions on manifolds. Zbl 0798.41029
Lizorkin, Pjotr I.; Nikol’skij, Sergej M.
2
1993
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 degeneracies. Variational methods. Zbl 0518.35039
Lizorkin, P. I.; Nikol’skij, S. M.
2
1983
Über ein Problem von S.L. Sobolev. Zbl 0199.44602
Nikol’skij, S. M.
2
1962
Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011
Nikolskii, S.
2
1993
Functions with dominant mixed derivative satisfying a multiple Hölder condition. Zbl 0271.46027
Nikol’skij, S. M.
2
1973
Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016
Nikol’skij, S. M.
2
1992
Sur certaines méthodes d’approximation au moyen de sommes trigonométriques. JFM 66.0279.02
Nikolski, S.
2
1940
The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034
Nikol’skij, S. M.
2
1999
Course of mathematical analysis. Vol. I. 2nd rev., suppl. ed. (Курс математического анализа. Том I.) Zbl 0346.00002
Nikol’skiĭ, S. M.
2
1975
Approximation by spherical polynomials. Zbl 0582.41008
Nikol’skij, S. M.; Lizorkin, P. I.
2
1984
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
Quadraturformeln. Zbl 0046.07104
Nikol’skij, S. M.
2
1952
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
Über eine Familie von Funktionalräumen. Zbl 0074.09306
Nikolskij, S. M.
2
1956
Über die beste Annäherung von Funktionen, deren \(s\)-te Ableitung Unstetigkeiten erster Art hat. Zbl 0033.35701
Nikol’skij, S.
2
1947
On interpolation and best approximation of differentiable periodic functions by trigonometrical polynomials. Zbl 0060.16808
Nikolsky, S.
2
1946
Über eine Eigenschaft der Klassen \(H_ p^{(r)}\). Zbl 0111.30502
Nikol’skij, S. M.
2
1961
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. Transl. from the Russian by Leonid Levant. Zbl 0483.15002
Bugrov, Ya. S.; Nikolsky, S. M.
1
1982
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
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
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 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
Boundary properties of functions defined on a region with angular points. I. Zbl 0189.06002
Nikol’skij, S. M.
1
1969
Some properties of differentiable functions defined on an \(n\)-dimensional open set. Zbl 0198.46105
Nikol’skij, S. M.
1
1959
Some reminiscences of A. I. Mal’tsev. Zbl 0256.01021
Nikol’skij, S. M.
1
1973
Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011
Nikol’skij, S. M.
1
1961
Imbedding theorems. Zbl 0206.12204
Sobolev, S. L.; Nikol’skij, S. M.
1
1963
Differential equations and function spaces. Collection of papers. Dedicated to the memory of academician Sergej L’vovich Sobolev. Zbl 0752.00034
1
1992
Theory of functions and approximations. Proceedings of the 5th Saratov Winter School, Saratov (USSR), January 25 - February 4, 1990. Interuniversity scientific collection. Part 1. (Teoriya funktsij i priblizhenij. Trudy 5-j Saratovskoj zimnej shkoly, Saratov (SSSR), 25 yanvarya - 4 fevralya 1990 g. Mezhvuzovskij nauchnyj sbornik. Chast’ 1.) Zbl 0863.00034
1
1992
Investigations in the theory of differentiable functions of several variables and its applications. Part 18. Transl. from the Russian. Zbl 0967.00013
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
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
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
2
1999
The case where a solution to a boundary-value problem is a polynomial. Zbl 0963.35034
Nikol’skij, S. M.
2
1999
Investigations in the theory of differentiable functions of several variables and its applications. Part 18. Transl. from the Russian. Zbl 0967.00013
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.
80
1996
Olga Arsenievna Olejnik (on her 70th birthday). Zbl 0913.01038
Arnol’d, V. I.; Vishik, M. I.; Kalashnikov, A. S.; Maslov, V. P.; Nikol’skij, S. M.; Novikov, S. P.
1
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
Bernstein inequality for algebraic polynomials of manifolds described by trigonometric polynomials. Zbl 0873.41008
Nikol’skij, S. M.
1
1995
Approximations of functions on manifolds. Zbl 0798.41029
Lizorkin, Pjotr I.; Nikol’skij, Sergej M.
2
1993
Approximation by trigonometrical polynomials on manifold. Zbl 0910.42011
Nikolskii, S.
2
1993
Approximation on a manifold by functions of exponential type and by polynomials. Zbl 0813.41016
Nikol’skij, S. M.
2
1992
Differential equations and function spaces. Collection of papers. Dedicated to the memory of academician Sergej L’vovich Sobolev. Zbl 0752.00034
1
1992
Theory of functions and approximations. Proceedings of the 5th Saratov Winter School, Saratov (USSR), January 25 - February 4, 1990. Interuniversity scientific collection. Part 1. (Teoriya funktsij i priblizhenij. Trudy 5-j Saratovskoj zimnej shkoly, Saratov (SSSR), 25 yanvarya - 4 fevralya 1990 g. Mezhvuzovskij nauchnyj sbornik. Chast’ 1.) Zbl 0863.00034
1
1992
Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012
19
1991
A course of mathematical analysis. Vol. 2. Textbook. (Kurs matematicheskogo analiza. Tom 2. Uchebnik). 4th ed., rev. and compl. (Kurs matematicheskogo analiza. Tom 2. Uchebnik.) Zbl 0727.00001
Nikol’skij, S. M.
5
1991
Approximation of functions by polynomials on a manifold. Zbl 0763.41006
Nikol’skiĭ, S. M.
1
1991
Spaces of functions of mixed smoothness from the decomposition point of view. Zbl 0707.46025
Lizorkin, P. I.; Nikol’skij, S. M.
44
1990
A course of mathematical analysis. Vol. 1. Textbook. 4th ed., rev. and compl. (Курс математического анализа. Том 1. Учебник.) Zbl 0723.00003
Nikol’skiĭ, S. M.
3
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
Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) Zbl 0638.41024
Nikol’skij, S. M.
26
1988
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0656.46023
Kudryavtsev, L. D.; Nikol’skij, S. M.
9
1988
Spaces of differentiable functions of several variables and imbedding theorems. Zbl 0780.46027
Kudryavtsev, L. D.; Nikol’skij, S. M.
8
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.
5
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
Functional spaces on the sphere, related with approximation theory. Zbl 0656.42002
Nikol’skij, S. M.; Lizorkin, P. I.
5
1987
Approximation theory on the sphere. Zbl 0635.41019
Nikol’skij, S. M.; Lizorkin, P. I.
4
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.
9
1983
Elements of mathematical analysis. Transl. from the Russian by Oscar Sheynin. Zbl 0512.00001
Nikol’skiĭ, S. M.
3
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
Coercive properties of elliptic equations with degeneration. A variational method. Zbl 0475.35050
Lizorkin, P. I.; Nikol’skij, S. M.
2
1981
Elliptic equations with degeneracy. Differential properties of solutions. Zbl 0473.35041
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.
4
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.
75
1979
Quadrature formulas. (Kvadraturnye formuly). 3rd ed. With suppl. by N. P. Kornejchuk. Zbl 0447.41001
Nikol’skij, S. M.
9
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.
198
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.
146
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.
6
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.
6
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
Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. Zbl 0307.46024
Nikol’skij, S. M.
318
1975
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.
218
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.
2
1973
Some reminiscences of A. I. Mal’tsev. Zbl 0256.01021
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.
165
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.
6
1969
Extension of functions of several variables preserving differential properties. Zbl 0189.06007
Nikol’skij, S. M.
4
1969
Boundary properties of functions defined on a region with angular points. I. Zbl 0189.06002
Nikol’skij, S. M.
1
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.
7
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.
25
1963
Über stabile Randwerte einer differenzierbaren Funktion mehrerer Veränderlicher. Zbl 0166.39701
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
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
A theorem on the representation of a certain class of differentiable functions of several variables by entire functions of exponential type. Zbl 0135.34901
Nikol’skij, S. M.
1
1963
Eindeutigkeitsbeweis für die klassische Lösung der ersten Randwertaufgabe für eine allgemeine lineare partielle Differentialgleichung für konvexe beschränkte Gebiete. Zbl 0124.31001
Nikol’skij, S. M.
1
1963
The first boundary problem for a general linear equation. Zbl 0168.35402
Nikol’skij, S. M.
4
1962
Properties of differentiable functions of several variables at the boundary of their domain of definition. Zbl 0196.44302
Nikol’skij, S. M.
3
1962
Über ein Problem von S.L. Sobolev. Zbl 0199.44602
Nikol’skij, S. M.
2
1962
On imbedding, continuation and approximation theorems for differentiable functions of several variables. Zbl 0117.29101
Nikol’skij, S. M.
55
1961
Über eine Eigenschaft der Klassen \(H_ p^{(r)}\). Zbl 0111.30502
Nikol’skij, S. M.
2
1961
Sur les theoremes d’immersion, prolongement et approximation des fonctions derivables des plusieurs variables. Zbl 0269.26011
Nikol’skij, S. M.
1
1961
Some properties of differentiable functions defined on an \(n\)-dimensional open set. Zbl 0198.46105
Nikol’skij, S. M.
1
1959
Ein Einbettungssatz für Funktionen mit partiellen Ableitungen, die in verschiedenen Metriken betrachtet werden. Zbl 0133.37401
Nikol’skij, S. M.
19
1958
Randeigenschaften von Funktionen, die in einem Gebiet mit Eckpunkten definiert sind. Zbl 0080.08502
Nikol’skij, S. M.
1
1957
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
Über eine Familie von Funktionalräumen. Zbl 0074.09306
Nikolskij, 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.
3
1954
Eigenschaften gewisser Klassen von Funktionen mehrerer Veränderlicher auf differenzierbaren Mannigfaltigkeiten. Zbl 0052.28702
Nikol’skij, S. M.
3
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.
27
1952
Quadraturformeln. Zbl 0046.07104
Nikol’skij, S. M.
2
1952
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18 Simonov, Boris Vital’evich
16 Ganzburg, Michael Iosifovich
16 Romanyuk, Anatolii Sergiiovych
15 Abdullayev, Fahreddin G.
14 Gol’dman, Mikhail L’vovich
14 Krejčí, Pavel
14 Potapov, Mikhaĭl Konstantinovich
13 Serdyuk, Anatoly S.
13 Triebel, Hans
12 Akishev, Gabdolla Akishevich
12 Tikhonov, Sergey Yur’evich
11 Hayotov, Abdullo Rakhmonovich
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9 Abdulla, Ugur G.
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9 Haroske, Dorothee D.
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9 Pyatkov, Sergeĭ Grigor’evich
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8 Asharabi, Rashad M.
8 Dinh Dũng
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8 Mucha, Piotr Bogusław
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7 Kerimov, Movlud Kerimovich
7 Kolomoitsev, Yurii S.
7 Makin, Alexander S.
7 Platonov, Sergei S.
7 Potseĭko, Pavel Gennad’evich
7 Romanyuk, Viktor Sergiiovych
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6 Ruzhansky, Michael V.
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109 Journal of Approximation Theory
73 Ukrainian Mathematical Journal
72 Mathematical Notes
68 Journal of Mathematical Analysis and Applications
64 Journal of Mathematical Sciences (New York)
41 Proceedings of the Steklov Institute of Mathematics
33 Differential Equations
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Journal of Differential Equations
25 Doklady Mathematics
24 Journal of Functional Analysis
23 Siberian Mathematical Journal
22 Annali di Matematica Pura ed Applicata. Serie Quarta
22 Journal of Complexity
19 Mathematische Nachrichten
17 Journal of Computational and Applied Mathematics
16 Computational Mathematics and Mathematical Physics
16 Russian Mathematics
15 Eurasian Mathematical Journal
14 Analysis Mathematica
13 Applied Mathematics and Computation
13 Lobachevskii Journal of Mathematics
12 Moscow University Mathematics Bulletin
11 Mathematical Methods in the Applied Sciences
11 Constructive Approximation
10 Journal of Applied Mathematics and Mechanics
10 Applied and Computational Harmonic Analysis
10 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
9 The Annals of Statistics
9 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
9 Sbornik: Mathematics
9 The Journal of Fourier Analysis and Applications
9 Journal of Inequalities and Applications
9 Communications on Pure and Applied Analysis
9 Complex Variables and Elliptic Equations
8 SIAM Journal on Mathematical Analysis
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Pseudo-Differential Operators and Applications
8 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
7 Computers & Mathematics with Applications
7 Results in Mathematics
7 Russian Journal of Mathematical Physics
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7 Nonlinear Analysis. Real World Applications
7 Boundary Value Problems
6 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
6 Advances in Mathematics
6 Mathematische Zeitschrift
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Transactions of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Calculus of Variations and Partial Differential Equations
6 St. Petersburg Mathematical Journal
6 NoDEA. Nonlinear Differential Equations and Applications
6 Boletín de la Sociedad Matemática Mexicana. Third Series
6 Izvestiya: Mathematics
6 Chebyshevskiĭ Sbornik
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5 Journal d’Analyse Mathématique
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5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
5 Complex Analysis and Operator Theory
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4 Acta Mathematica Vietnamica
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Cited in 49 Fields

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416 Approximations and expansions (41-XX)
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147 Operator theory (47-XX)
144 Numerical analysis (65-XX)
100 Real functions (26-XX)
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40 Statistics (62-XX)
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6 Optics, electromagnetic theory (78-XX)
6 Biology and other natural sciences (92-XX)
5 Number theory (11-XX)
5 Convex and discrete geometry (52-XX)
5 Mechanics of particles and systems (70-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Difference and functional equations (39-XX)
3 General topology (54-XX)
3 Operations research, mathematical programming (90-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Differential geometry (53-XX)
1 Commutative algebra (13-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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