Edit Profile Korneĭchuk, Nikolaĭ Pavlovich Compute Distance To: Compute Author ID: korneichuk.nikolai-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 all top 5 Co-Authors 110 single-authored 6 Babenko, Vladyslav Fedorovych 6 Ligun, A. A. 5 Dzyadyk, Vladyslav Kyrylovych 5 Polovina, A. I. 4 Kudryavtsev, Lev Dmitrievich 3 Lushpaj, N. E 3 Pichugov, S. A. 3 Vladimirov, Vasiliĭ Sergeevich 2 Besov, Oleg Vladimirovich 2 Doronin, V. G. 2 Kashin, Boris Sergeevich 2 Kofanov, V. A. 2 Pichugov, Sergei 2 Shevchuk, Igor A. 2 Stechkin, Sergeĭ Borisovich 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Ul’yanov, Pëtr Lavrent’evich 2 Velikin, V. L. 2 Volkov, Evgeniĭ Alekseevich 1 Andrienko, Vitaly Afanasevich 1 Babenko, V. E. 1 Bochkarev, Sergei Viktorovich 1 Gorbachuk, Myroslav L’vovych 1 Il’in, Vladimir Aleksandrovich 1 Korolyuk, Volodymyr Semenovych 1 Lizorkin, Pëtr Ivanovich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Oleĭnik, Ol’ga Arsen’evna 1 Osipov, Yuriĭ Sergeevich 1 Perevenzev, G. V. 1 Pokhozhaev, Stanislav I. 1 Temlyakov, Vladimir Nikolaevich all top 5 Serials 17 Ukrainian Mathematical Journal 15 Ukraïns’kyĭ Matematychnyĭ Zhurnal 10 Soviet Mathematics. Doklady 8 Mathematical Notes 7 Matematicheskie Zametki 6 Russian Mathematical Surveys 4 Mathematics of the USSR. Izvestiya 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Analysis Mathematica 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Dopovidi Akademiï Nauk Ukraïns’koï RSR 2 Doklady Akademii Nauk SSSR 2 Journal of Complexity 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 East Journal on Approximations 2 Encyclopedia of Mathematics and Its Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki 1 Translations. Series 2. American Mathematical Society all top 5 Fields 96 Approximations and expansions (41-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 11 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Numerical analysis (65-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 0976.41008Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F. 38 1996 Complexity of approximation problems. Zbl 0940.41008Korneichuk, N. P. 27 1996 On the exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions. Zbl 0136.36305Korneĭchuk, 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 0371.41005Kornejchuk, N. P. 16 1977 Exact constants in approximation theory. (Tochnye konstanty v teorii priblizheniya). Zbl 0643.41002Kornejchuk, N. P. 13 1987 Approximation with constraints. (Approksimatsiya s ogranicheniyami). Zbl 0531.41001Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G. 9 1982 On extremal properties of periodic functions. Zbl 0128.06704Kornejchuk, N. P. 8 1962 On an exact constant in Jackson’s inequality for continuous periodic functions. Zbl 0528.42001Kornejchuk, N. P. 7 1982 On extremal subspaces and approximation of periodic functions by splines of minimal defect. Zbl 0326.41011Kornejchuk, N. P. 6 1975 Upper bounds ov best approximations on classes of differentiable periodic functions in the C and L metrics. Zbl 0202.06102Kornejchuk, N. P. 6 1970 Approximation and optimal coding of smooth plane curves. Zbl 0797.41017Kornejchuk, N. P. 4 1989 On approximation of a class by another class and extremal subspaces in \(L_ 1\). Zbl 0481.42004Kornejchuk, N. P.; Ligun, A. A. 4 1981 Exact constants in approximation theory. Transl. from the Russian by K. Ivanov. Zbl 0722.41001Kornejchuk, N. 3 1991 Optimal coding of elements of a metric space. Zbl 0696.41030Kornejchuk, N. P. 3 1987 Splines in approximation theory. (Splajny v teorii priblizheniya). Zbl 0532.41009Kornejchuk, N. P. 3 1984 Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces. Zbl 0436.41021Kornejchuk, N. P. 3 1979 On methods investigating extremal problems in the theory of best approximation. Zbl 0373.41026Kornejchuk, N. P. 3 1974 Best cubature formulas for some classes of functions of many variables. Zbl 0169.07802Kornejchuk, N. P. 3 1969 Optimization of active algorithms for recovery of monotonic functions from Hölder’s class. Zbl 0807.65006Korneichuk, Nikolaj P. 2 1994 Extremal properties of polynomials and splines. Zbl 0853.41006Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A. 2 1992 Approximations by local splines of minimal defect. Zbl 0512.41007Kornejchuk, 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 0536.41026Kornejchuk, N. P. 2 1982 Genaue Abschätzungen der Approximation vermittels Splinefunktionen auf Klassen differenzierbarer Funktionen. Zbl 0216.38903Velikin, 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 0118.06102Kornejchuk, N. P. 2 1961 The best uniform approximation on certain classes of continuous functions. Zbl 0108.05601Kornejchuk, N. P. 2 1961 Informativeness of functionals. Zbl 0849.46016Korneichuk, N. P. 1 1994 Behavior of the derivatives of the error of a spline interpolation. Zbl 0733.41015Kornejchuk, N. P. 1 1991 Sergeĭ Mikhaĭlovich Nikol’skiĭ (on his eighty-fifth birthday). Zbl 0776.01007Vladimirov, 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 0736.41015Kornejchuk, N. P. 1 1991 Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines. Zbl 0599.41027Kornejchuk, N. P. 1 1983 Approximation of differential functions and their derivatives by parabolic splines. Zbl 0558.41015Kornejchuk, N. P. 1 1983 The approximation of functions and their derivatives by interpolatory splines. Zbl 0509.41004Kornejchuk, N. P. 1 1982 Error bound of spline interpolation in an integral metric. Zbl 0477.41007Kornejchuk, 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 0511.41030Kornejchuk, N. P. 1 1981 Die beste Approximation vermittels Splinefunktionen auf Klassen periodischer Funktionen in der L-Metrik. Zbl 0345.41007Kornejchuk, N. P. 1 1976 On correlations between moduli of continuity of functions and their rearrangements. Zbl 0266.26003Kornejchuk, N. P. 1 1973 Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation. Zbl 0209.09802Kornejchuk, N. P.; Lushpaj, N. E. 1 1971 Best uniform approximation of differentiable functions. Zbl 0112.29302Korneĭchuk, N. P. 1 1961 Extremal properties of polynomials and splines. Based on the Russian edition 1992. Zbl 0976.41008Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F. 38 1996 Complexity of approximation problems. Zbl 0940.41008Korneichuk, N. P. 27 1996 Optimization of active algorithms for recovery of monotonic functions from Hölder’s class. Zbl 0807.65006Korneichuk, Nikolaj P. 2 1994 Informativeness of functionals. Zbl 0849.46016Korneichuk, N. P. 1 1994 Extremal properties of polynomials and splines. Zbl 0853.41006Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A. 2 1992 Exact constants in approximation theory. Transl. from the Russian by K. Ivanov. Zbl 0722.41001Kornejchuk, N. 3 1991 Behavior of the derivatives of the error of a spline interpolation. Zbl 0733.41015Kornejchuk, N. P. 1 1991 Sergeĭ Mikhaĭlovich Nikol’skiĭ (on his eighty-fifth birthday). Zbl 0776.01007Vladimirov, 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 0736.41015Kornejchuk, N. P. 1 1991 Approximation and optimal coding of smooth plane curves. Zbl 0797.41017Kornejchuk, N. P. 4 1989 Exact constants in approximation theory. (Tochnye konstanty v teorii priblizheniya). Zbl 0643.41002Kornejchuk, N. P. 13 1987 Optimal coding of elements of a metric space. Zbl 0696.41030Kornejchuk, N. P. 3 1987 Splines in approximation theory. (Splajny v teorii priblizheniya). Zbl 0532.41009Kornejchuk, N. P. 3 1984 Approximations by local splines of minimal defect. Zbl 0512.41007Kornejchuk, N. P. 2 1983 Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines. Zbl 0599.41027Kornejchuk, N. P. 1 1983 Approximation of differential functions and their derivatives by parabolic splines. Zbl 0558.41015Kornejchuk, N. P. 1 1983 Approximation with constraints. (Approksimatsiya s ogranicheniyami). Zbl 0531.41001Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G. 9 1982 On an exact constant in Jackson’s inequality for continuous periodic functions. Zbl 0528.42001Kornejchuk, 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 0536.41026Kornejchuk, N. P. 2 1982 The approximation of functions and their derivatives by interpolatory splines. Zbl 0509.41004Kornejchuk, N. P. 1 1982 Error bound of spline interpolation in an integral metric. Zbl 0477.41007Kornejchuk, N. P.; Ligun, A. A. 1 1982 On approximation of a class by another class and extremal subspaces in \(L_ 1\). Zbl 0481.42004Kornejchuk, 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 0511.41030Kornejchuk, N. P. 1 1981 Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces. Zbl 0436.41021Kornejchuk, 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 0371.41005Kornejchuk, N. P. 16 1977 Die beste Approximation vermittels Splinefunktionen auf Klassen periodischer Funktionen in der L-Metrik. Zbl 0345.41007Kornejchuk, N. P. 1 1976 On extremal subspaces and approximation of periodic functions by splines of minimal defect. Zbl 0326.41011Kornejchuk, N. P. 6 1975 On methods investigating extremal problems in the theory of best approximation. Zbl 0373.41026Kornejchuk, N. P. 3 1974 On correlations between moduli of continuity of functions and their rearrangements. Zbl 0266.26003Kornejchuk, N. P. 1 1973 Genaue Abschätzungen der Approximation vermittels Splinefunktionen auf Klassen differenzierbarer Funktionen. Zbl 0216.38903Velikin, V. L.; Kornejchuk, N. P. 2 1971 Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation. Zbl 0209.09802Kornejchuk, 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 0202.06102Kornejchuk, N. P. 6 1970 Best cubature formulas for some classes of functions of many variables. Zbl 0169.07802Kornejchuk, N. P. 3 1969 On the exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions. Zbl 0136.36305Korneĭchuk, N. P. 22 1962 On extremal properties of periodic functions. Zbl 0128.06704Kornejchuk, 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 0118.06102Kornejchuk, N. P. 2 1961 The best uniform approximation on certain classes of continuous functions. Zbl 0108.05601Kornejchuk, N. P. 2 1961 Best uniform approximation of differentiable functions. Zbl 0112.29302Korneĭchuk, N. P. 1 1961 all cited Publications top 5 cited Publications 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, Igor 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 all top 5 Cited in 35 Serials 41 Ukrainian Mathematical Journal 30 Journal of Approximation Theory 26 Mathematical Notes 10 Proceedings of the Steklov Institute of Mathematics 8 Journal of Complexity 8 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Analysis and Applications 3 Constructive Approximation 3 Vestnik St. Petersburg University. Mathematics 2 Computers & Mathematics with Applications 2 Russian Mathematics 1 Analysis Mathematica 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Moscow University Mathematics Bulletin 1 Applied Mathematics and Computation 1 BIT 1 Journal of Computational and Applied Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematica Slovaca 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Siberian Mathematical Journal 1 Acta Applicandae Mathematicae 1 Cybernetics and Systems Analysis 1 St. Petersburg Mathematical Journal 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Computational Methods and Function Theory 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Ural Mathematical Journal all top 5 Cited in 23 Fields 123 Approximations and expansions (41-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 21 Numerical analysis (65-XX) 10 Real functions (26-XX) 10 Functional analysis (46-XX) 9 Functions of a complex variable (30-XX) 5 Operator theory (47-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Fluid mechanics (76-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.