Korneichuk, N. P. Best approximation and symmetric decreasing rearrangements of functions. (English. Russian original) Zbl 1155.41311 Function spaces, harmonic analysis, and differential equations. Collected papers. Dedicated to the 95th anniversary of academician S. M. Nikol’skii. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodika Publishing. Proc. Steklov Inst. Math. 232, 172-186 (2001); translation from Tr. Mat. Inst. Steklova 232, 179-193 (2001). MSC: 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. On the best approximation of functions of \(n\) variables. (English. Russian original) Zbl 0956.41023 Ukr. Math. J. 51, No. 10, 1525-1533 (1999); translation from Ukr. Mat. Zh. 51, No. 10, 1352-1359 (1999). MSC: 41A63 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. S. M. Nikol’skij and the Soviet School in approximation theory. (Russian) Zbl 0635.01008 Tr. Mat. Inst. Steklova 180, 3-12 (1987). Reviewer: Doru Ştefănescu MSC: 01A65 41-03 01A72 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Rearrangements and extremal properties of functions. (English) Zbl 0627.41008 A. Haar. Mem. Conf., Budapest/Hung. 1985, Colloq. Math. Soc. János Bolyai 49, 505-513 (1987). Reviewer: G.Meinardus MSC: 41A17 41A25 42A10 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. On the problem concerning the best linear method of approximation for the class \(H^{\omega}\). (Russian) Zbl 0591.41014 Modern problems of real and complex analysis, Collect. sci. Works, Kiev 1984, 87-90 (1984). Reviewer: D.N.Zarnadze MSC: 41A35 41A30 41A46 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Widths in \(L_ p\) of classes of continuous and of differentiable functions, and optimal methods of coding and recovering functions and their derivatives. (English) Zbl 0536.41026 Math. USSR, Izv. 18, 227-247 (1982). MSC: 41A46 41A65 42A99 41A50 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G. Approximation with constraints. (Approksimatsiya s ogranicheniyami). (Russian) Zbl 0531.41001 Kiev: ”Naukova Dumka”. 252 p. R. 2.30 (1982). Reviewer: L.Ciobanu MSC: 41-01 41A50 41A65 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Diameters and optimal recovery. (English) Zbl 0571.41022 Approximation and function spaces, Proc. int. Conf., Gdańsk 1979, 355-370 (1981). MSC: 41A46 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P.; Ligun, A. A.; Doronin, V. G. The duality for best approximations with restrictions. (Russian) Zbl 0496.41021 Investigations on modern problems of summation and approximation of functions and their applications, Collect. sci. Works, Dnepropetrovsk 1980, 35-48 (1980). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Inequalities for best spline approximation of periodic differentiable functions. (English. Russian original) Zbl 0482.41008 Ukr. Math. J. 31, 294-301 (1980); translation from Ukr. Mat. Zh. 31, 380-388 (1979). MSC: 41A15 41A50 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Widths in \(L_ p\) of classes of continuous and differentiable functions and optimal reconstruction of functions and their derivatives. (English. Russian original) Zbl 0541.41020 Sov. Math., Dokl. 20, 229-233 (1979); translation from Dokl. Akad. Nauk SSSR 244, 1317-1321 (1979). MSC: 41A46 41A50 41A65 × Cite Format Result Cite Review PDF
Nikol’skij, S. M. [Kornejchuk, N. P.] Quadrature formulas. (Kvadraturnye formuly). 3rd ed. With suppl. by N. P. Kornejchuk. (Russian) Zbl 0447.41001 Moskva: “Nauka”, Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 265 p. (1979). MSC: 41-01 41A55 41A50 41A25 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces. (English) Zbl 0436.41021 Ukr. Math. J. 31, 16-23 (1979). MSC: 41A65 41A50 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Dualitätssätze und Extremalprobleme der besten Approximation. (Russian) Zbl 0415.41021 Approximation theory, Warszawa 1975, Banach Cent. Publ. 4, 127-141 (1979). MSC: 41A65 41A50 41A15 × Cite Format Result Cite Review PDF Full Text: Link
Kornejchuk, N. P. Über die beste Approximation von Klassen von Funktionen mit beschränkter r-ter Ableitung auf einem abgeschlossenen Intervall vermittels endlichdimensionaler Unterräume. (Russian) Zbl 0414.41018 Ukr. Mat. Zh. 31, 23-31 (1979). MSC: 41A65 41A50 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Sharp inequalities for best approximation by splines. (English. Russian original) Zbl 0416.41018 Sov. Math., Dokl. 19, 1092-1095 (1978); translation from Dokl. Akad. Nauk SSSR 242, 280-283 (1978). MSC: 41A15 41A50 41A10 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Some extremal problems in approximation theory. (English) Zbl 0367.41014 Am. Math. Soc., Translat., II. Ser. 109, 51-57 (1977). MSC: 41A50 41A15 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Best approximation by splines on classes of periodic functions in the metric of L. (English) Zbl 0355.41016 Math. Notes 20(1976), 927-933 (1977). MSC: 41A15 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Die beste Approximation vermittels Splinefunktionen auf Klassen periodischer Funktionen in der L-Metrik. (Russian) Zbl 0345.41007 Mat. Zametki 20, 655-664 (1976). MSC: 41A15 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. On methods investigating extremal problems in the theory of best approximation. (English) Zbl 0373.41026 Russ. Math. Surv. 29, No. 3, 7-43 (1974). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Über Methoden der Untersuchung von Extremalproblemen der Theorie der besten Approximation. (Russian) Zbl 0366.41011 Usp. Mat. Nauk 29, No. 3(177), 9-42 (1974). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. On uniform approximation of periodic functions by subspaces of finite dimension. (English. Russian original) Zbl 0288.41021 Sov. Math., Dokl. 14, 1736-1741 (1973); translation from Dokl. Akad. Nauk SSSR 213, 525-528 (1973). MSC: 41A65 41A50 41A15 41A30 41A63 42A10 × Cite Format Result Cite Review PDF
Kornejchuk, N. P. Ungleichungen für differenzierbare periodische Funktionen und die beste Approximation einer Klasse von Funktionen vermittels einer anderen. (English. Russian original) Zbl 0281.41004 Math. USSR, Izv. 6(1972), 417-428 (1973); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 36, 423-434 (1972). MSC: 41A50 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Extreme values of functionals and best approximation on classes of periodic functions. (English) Zbl 0249.42003 Math. USSR, Izv. 5(1971), 97-129 (1972). MSC: 42A10 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P.; Lushpaj, N. E. Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation. (English) Zbl 0209.09802 Math. USSR, Izv. 3(1969), 1335-1355 (1971). MSC: 41A55 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kornejchuk, N. P. Upper bounds of best approximations on classes of differentiable periodic functions in the \(C\) and \(L\) metrics. (Russian) Zbl 0202.06102 Dokl. Akad. Nauk SSSR 190, 269-271 (1970). MSC: 41A50 × Cite Format Result Cite Review PDF
Korneĭchuk, N. P. The best approximation of polygonal functions by polygons. (Russian) Zbl 0142.03001 Vopr. Mat. Fiz. Teor. Funkts. 1, 65-71 (1964). Reviewer: K. Tandori MSC: 41A50 × Cite Format Result Cite Review PDF
Korneĭchuk, N. P. On the exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions. (English. Russian original) Zbl 0136.36305 Sov. Math., Dokl. 3, 1040-1041 (1962); translation from Dokl. Akad. Nauk SSSR 145, 514-515 (1962). MSC: 42A10 41A50 × Cite Format Result Cite Review PDF
Korneĭchuk, N. P. Best uniform approximation of differentiable functions. (English. Russian original) Zbl 0112.29302 Sov. Math., Dokl. 2, 1449-1452 (1961); translation from Dokl. Akad. Nauk SSSR 141, 304-307 (1961). Reviewer: K. Tandori MSC: 41A50 × Cite Format Result Cite Review PDF