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Korneĭchuk, Nikolaĭ Pavlovich

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Author ID: korneichuk.nikolai-pavlovich Recent zbMATH articles by "Korneĭchuk, Nikolaĭ Pavlovich"
Published as: Korneichuck, Nikolai; Korneichuk, N. P.; Korneichuk, Nikolai; Korneichuk, Nikolaj P.; Kornejchuck, N. P.; Kornejchuk, N.; Kornejchuk, N. P.; Korneĭchuk, N. P.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 141 Publications since 1959, including 19 Books
Biographic References: 7 Publications

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 205 times in 163 Documents Cited by Year
Extremal properties of polynomials and splines. Based on the Russian edition 1992. Zbl 0976.41008
Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F.
38
1996
Complexity of approximation problems. Zbl 0940.41008
Korneichuk, N. P.
27
1996
On the exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions. Zbl 0136.36305
Korneĭchuk, N. P.
22
1962
Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions. Zbl 0371.41005
Kornejchuk, N. P.
16
1977
Exact constants in approximation theory. (Tochnye konstanty v teorii priblizheniya). Zbl 0643.41002
Kornejchuk, N. P.
13
1987
Approximation with constraints. (Approksimatsiya s ogranicheniyami). Zbl 0531.41001
Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G.
9
1982
On extremal properties of periodic functions. Zbl 0128.06704
Kornejchuk, N. P.
8
1962
On an exact constant in Jackson’s inequality for continuous periodic functions. Zbl 0528.42001
Kornejchuk, N. P.
7
1982
On extremal subspaces and approximation of periodic functions by splines of minimal defect. Zbl 0326.41011
Kornejchuk, N. P.
6
1975
Upper bounds ov best approximations on classes of differentiable periodic functions in the C and L metrics. Zbl 0202.06102
Kornejchuk, N. P.
6
1970
Approximation and optimal coding of smooth plane curves. Zbl 0797.41017
Kornejchuk, N. P.
4
1989
On approximation of a class by another class and extremal subspaces in \(L_ 1\). Zbl 0481.42004
Kornejchuk, N. P.; Ligun, A. A.
4
1981
Exact constants in approximation theory. Transl. from the Russian by K. Ivanov. Zbl 0722.41001
Kornejchuk, N.
3
1991
Optimal coding of elements of a metric space. Zbl 0696.41030
Kornejchuk, N. P.
3
1987
Splines in approximation theory. (Splajny v teorii priblizheniya). Zbl 0532.41009
Kornejchuk, N. P.
3
1984
Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces. Zbl 0436.41021
Kornejchuk, N. P.
3
1979
On methods investigating extremal problems in the theory of best approximation. Zbl 0373.41026
Kornejchuk, N. P.
3
1974
Best cubature formulas for some classes of functions of many variables. Zbl 0169.07802
Kornejchuk, N. P.
3
1969
Optimization of active algorithms for recovery of monotonic functions from Hölder’s class. Zbl 0807.65006
Korneichuk, Nikolaj P.
2
1994
Extremal properties of polynomials and splines. Zbl 0853.41006
Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A.
2
1992
Approximations by local splines of minimal defect. Zbl 0512.41007
Kornejchuk, N. P.
2
1983
Widths in \(L_ p\) of classes of continuous and of differentiable functions, and optimal methods of coding and recovering functions and their derivatives. Zbl 0536.41026
Kornejchuk, N. P.
2
1982
Genaue Abschätzungen der Approximation vermittels Splinefunktionen auf Klassen differenzierbarer Funktionen. Zbl 0216.38903
Velikin, V. L.; Kornejchuk, N. P.
2
1971
Über die asymptotische Abschätzung des Restes bei der Approximation von periodischen Funktionen, die einer Lipschitz-Bedingung genügen, durch Interpolationspolynome bei äquidistanten Knoten. Zbl 0118.06102
Kornejchuk, N. P.
2
1961
The best uniform approximation on certain classes of continuous functions. Zbl 0108.05601
Kornejchuk, N. P.
2
1961
Informativeness of functionals. Zbl 0849.46016
Korneichuk, N. P.
1
1994
Behavior of the derivatives of the error of a spline interpolation. Zbl 0733.41015
Kornejchuk, N. P.
1
1991
Sergeĭ Mikhaĭlovich Nikol’skiĭ (on his eighty-fifth birthday). Zbl 0776.01007
Vladimirov, V. S.; Dzyadyk, V. K.; Korneĭchuk, N. P.; Kudryavtsev, L. D.
1
1991
A derivation of exact estimates for the derivative of the spline- interpolation error. Zbl 0736.41015
Kornejchuk, N. P.
1
1991
Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines. Zbl 0599.41027
Kornejchuk, N. P.
1
1983
Approximation of differential functions and their derivatives by parabolic splines. Zbl 0558.41015
Kornejchuk, N. P.
1
1983
The approximation of functions and their derivatives by interpolatory splines. Zbl 0509.41004
Kornejchuk, N. P.
1
1982
Error bound of spline interpolation in an integral metric. Zbl 0477.41007
Kornejchuk, N. P.; Ligun, A. A.
1
1982
Diameters in \(L_ p \)classes of continuous and differentiable functions and optimal methods of coding and restoration of functions and their derivatives. Zbl 0511.41030
Kornejchuk, N. P.
1
1981
Die beste Approximation vermittels Splinefunktionen auf Klassen periodischer Funktionen in der L-Metrik. Zbl 0345.41007
Kornejchuk, N. P.
1
1976
On correlations between moduli of continuity of functions and their rearrangements. Zbl 0266.26003
Kornejchuk, N. P.
1
1973
Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation. Zbl 0209.09802
Kornejchuk, N. P.; Lushpaj, N. E.
1
1971
Best uniform approximation of differentiable functions. Zbl 0112.29302
Korneĭchuk, N. P.
1
1961
Extremal properties of polynomials and splines. Based on the Russian edition 1992. Zbl 0976.41008
Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F.
38
1996
Complexity of approximation problems. Zbl 0940.41008
Korneichuk, N. P.
27
1996
Optimization of active algorithms for recovery of monotonic functions from Hölder’s class. Zbl 0807.65006
Korneichuk, Nikolaj P.
2
1994
Informativeness of functionals. Zbl 0849.46016
Korneichuk, N. P.
1
1994
Extremal properties of polynomials and splines. Zbl 0853.41006
Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A.
2
1992
Exact constants in approximation theory. Transl. from the Russian by K. Ivanov. Zbl 0722.41001
Kornejchuk, N.
3
1991
Behavior of the derivatives of the error of a spline interpolation. Zbl 0733.41015
Kornejchuk, N. P.
1
1991
Sergeĭ Mikhaĭlovich Nikol’skiĭ (on his eighty-fifth birthday). Zbl 0776.01007
Vladimirov, V. S.; Dzyadyk, V. K.; Korneĭchuk, N. P.; Kudryavtsev, L. D.
1
1991
A derivation of exact estimates for the derivative of the spline- interpolation error. Zbl 0736.41015
Kornejchuk, N. P.
1
1991
Approximation and optimal coding of smooth plane curves. Zbl 0797.41017
Kornejchuk, N. P.
4
1989
Exact constants in approximation theory. (Tochnye konstanty v teorii priblizheniya). Zbl 0643.41002
Kornejchuk, N. P.
13
1987
Optimal coding of elements of a metric space. Zbl 0696.41030
Kornejchuk, N. P.
3
1987
Splines in approximation theory. (Splajny v teorii priblizheniya). Zbl 0532.41009
Kornejchuk, N. P.
3
1984
Approximations by local splines of minimal defect. Zbl 0512.41007
Kornejchuk, N. P.
2
1983
Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines. Zbl 0599.41027
Kornejchuk, N. P.
1
1983
Approximation of differential functions and their derivatives by parabolic splines. Zbl 0558.41015
Kornejchuk, N. P.
1
1983
Approximation with constraints. (Approksimatsiya s ogranicheniyami). Zbl 0531.41001
Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G.
9
1982
On an exact constant in Jackson’s inequality for continuous periodic functions. Zbl 0528.42001
Kornejchuk, N. P.
7
1982
Widths in \(L_ p\) of classes of continuous and of differentiable functions, and optimal methods of coding and recovering functions and their derivatives. Zbl 0536.41026
Kornejchuk, N. P.
2
1982
The approximation of functions and their derivatives by interpolatory splines. Zbl 0509.41004
Kornejchuk, N. P.
1
1982
Error bound of spline interpolation in an integral metric. Zbl 0477.41007
Kornejchuk, N. P.; Ligun, A. A.
1
1982
On approximation of a class by another class and extremal subspaces in \(L_ 1\). Zbl 0481.42004
Kornejchuk, N. P.; Ligun, A. A.
4
1981
Diameters in \(L_ p \)classes of continuous and differentiable functions and optimal methods of coding and restoration of functions and their derivatives. Zbl 0511.41030
Kornejchuk, N. P.
1
1981
Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces. Zbl 0436.41021
Kornejchuk, N. P.
3
1979
Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions. Zbl 0371.41005
Kornejchuk, N. P.
16
1977
Die beste Approximation vermittels Splinefunktionen auf Klassen periodischer Funktionen in der L-Metrik. Zbl 0345.41007
Kornejchuk, N. P.
1
1976
On extremal subspaces and approximation of periodic functions by splines of minimal defect. Zbl 0326.41011
Kornejchuk, N. P.
6
1975
On methods investigating extremal problems in the theory of best approximation. Zbl 0373.41026
Kornejchuk, N. P.
3
1974
On correlations between moduli of continuity of functions and their rearrangements. Zbl 0266.26003
Kornejchuk, N. P.
1
1973
Genaue Abschätzungen der Approximation vermittels Splinefunktionen auf Klassen differenzierbarer Funktionen. Zbl 0216.38903
Velikin, V. L.; Kornejchuk, N. P.
2
1971
Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation. Zbl 0209.09802
Kornejchuk, N. P.; Lushpaj, N. E.
1
1971
Upper bounds ov best approximations on classes of differentiable periodic functions in the C and L metrics. Zbl 0202.06102
Kornejchuk, N. P.
6
1970
Best cubature formulas for some classes of functions of many variables. Zbl 0169.07802
Kornejchuk, N. P.
3
1969
On the exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions. Zbl 0136.36305
Korneĭchuk, N. P.
22
1962
On extremal properties of periodic functions. Zbl 0128.06704
Kornejchuk, N. P.
8
1962
Über die asymptotische Abschätzung des Restes bei der Approximation von periodischen Funktionen, die einer Lipschitz-Bedingung genügen, durch Interpolationspolynome bei äquidistanten Knoten. Zbl 0118.06102
Kornejchuk, N. P.
2
1961
The best uniform approximation on certain classes of continuous functions. Zbl 0108.05601
Kornejchuk, N. P.
2
1961
Best uniform approximation of differentiable functions. Zbl 0112.29302
Korneĭchuk, N. P.
1
1961
all top 5

Cited by 137 Authors

14 Babenko, Vladyslav Fedorovych
8 Kofanov, V. A.
8 Korneĭchuk, Nikolaĭ Pavlovich
8 Skorokhodov, Dmytro S.
7 Ligun, A. A.
6 Vinogradov, Oleg Leonidovich
5 Arestov, Vitaliĭ Vladimirovich
5 Deikalova, Marina V.
5 Ganzburg, Michael Iosifovich
5 Shabozov, Mirgand Shabozovich
4 Pereverzev, Sergei V.
4 Pichugov, S. A.
4 Ubhaya, Vasant A.
3 Borodachov, Sergiy V.
3 Fang, Gensun
3 Glazyrina, Polina Yu.
3 Li, Xuehua
3 Motornyĭ, Vitaliĭ Pavlovich
3 Naidenov, Nikola
3 Serdyuk, Anatoly S.
3 Velikin, V. L.
2 Babenko, Aleksandr Grigor’evich
2 Boyanov, Borislav Dechev
2 Doronin, V. G.
2 Hayotov, Abdullo Rakhmonovich
2 Kryakin, Yuri V.
2 Langarshoev, Mukhtor Ramazonovich
2 Liu, Yongping
2 Nazarenko, N. A.
2 Parfinovich, Natal’ya V.
2 Parfinovych, Nataliia Viktorivna
2 Révész, Szilárd György
2 Savchuk, V. V.
2 Shadimetov, Kholmat Mahkambaevich
2 Shevaldin, Valeriĭ Trifonovich
2 Sokolenko, I. V.
2 Storozhenko, Eh. A.
2 Strelkova, Elena V.
2 Vakarchuk, S. B.
2 Zhuk, Vladimir Vasil’evich
1 Andrianov, P. A.
1 Babenko, Viktor V.
1 Babenko, Yu. V.
1 Babenko, Yuliya
1 Babushkin, Max V.
1 Badea, Catalin
1 Bagdasarov, Sergey K.
1 Bagramyan, T. E.
1 Beatson, Rick K.
1 Bodenchuk, V. V.
1 Cabada, Alberto
1 Chaĭchenko, Stanislav Olegovich
1 Coatmelec, Christian
1 Dahmen, Wolfgang A.
1 Daugavet, I. K.
1 Davidchik, A. N.
1 Davydov, Oleg V.
1 D’yachenko, D. M.
1 Elizarov, A. M.
1 Fëdorov, E. V.
1 Feschiev, Ivan Hristov
1 Fisher, Stephen D.
1 Gavrea, Ioan
1 Gocheva-Ilieva, Snezhana Georgieva
1 González-Vera, Pablo
1 Gorbachëv, Dmitriĭ Viktorovich
1 Horváth, Ágota P.
1 Ivan, Mircea Dumitru
1 Kholshevnikov, Konstantin Vladislavovich
1 Khorosko, N. P.
1 Kopotun, Kirill A.
1 Kováčik, Ondrej
1 Kozko, A. I.
1 Kushpel’, A. V.
1 Kuzmenko, Dmytro
1 Levchenko, D. A.
1 Levesley, Jeremy
1 Li, Zhongkai
1 Ling, Bo
1 Littmann, Friedrich
1 Magaril-Il’yaev, Gregoriĭ Geogrievich
1 Malykhin, Yuriĭ Vyacheslavovich
1 Mathé, Peter
1 Melnik, K. N.
1 Melnik, Roderick V. Nicholas
1 Milovanović, Gradimir V.
1 Mironenko, A. V.
1 Navascués, María Antonia
1 Novak, Erich
1 Oram, J. A.
1 Osipenko, Konstantin Yur’evich
1 Pokrovskii, Andrei Vladimirovich
1 Polishchuk, M. V.
1 Polyakov, O. V.
1 Popovich, I. V.
1 Prikazchikov, Viktor G.
1 Proinov, Petko D.
1 Projnov, Petko D.
1 Prokhorov, Vasily A.
1 Pudovkin, A. A.
...and 37 more Authors

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