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Publications in Math-Net.Ru |
Citations |
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2001 |
1. |
N. P. Korneichuk, “Best Approximation and Symmetric Decreasing Rearrangements of Functions”, Trudy Mat. Inst. Steklova, 232 (2001), 179–193 ; Proc. Steklov Inst. Math., 232 (2001), 172–186 |
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1987 |
2. |
N. P. Korneichuk, “S. M. Nikol'skij and the Soviet School of approximation theory”, Trudy Mat. Inst. Steklov., 180 (1987), 3–12 ; Proc. Steklov Inst. Math., 180 (1989), 1–10 |
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1985 |
3. |
N. P. Korneichuk, “S. M. Nikol'skii and the development of research on approximation theory in the USSR”, Uspekhi Mat. Nauk, 40:5(245) (1985), 71–131 ; Russian Math. Surveys, 40:5 (1985), 83–156 |
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4. |
N. P. Korneichuk, “Duality of extremal problems in function spaces and approximation of functions”, Uspekhi Mat. Nauk, 40:4(244) (1985), 175–176 ; Russian Math. Surveys, 40:4 (1985), 195–196 |
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1983 |
5. |
N. P. Korneichuk, “Some exact inequalities for differentiable functions and an estimate of the approximation of the functions and their derivatives by interpolation cubic splines”, Sibirsk. Mat. Zh., 24:5 (1983), 94–108 ; Siberian Math. J., 24:5 (1983), 723–735 |
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1982 |
6. |
N. P. Korneichuk, “The approximation of functions and their derivatives by interpolatory splines”, Dokl. Akad. Nauk SSSR, 264:5 (1982), 1063–1066 |
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7. |
N. P. Korneichuk, “Precise constant in Jackson's inequality for continuous periodic functions”, Mat. Zametki, 32:5 (1982), 669–674 ; Math. Notes, 32:5 (1982), 818–821 |
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1981 |
8. |
N. P. Korneichuk, “Widths in $L_p$ of classes of continuous and of differentiable functions, and optimal methods of coding and recovering functions and their derivatives”, Izv. Akad. Nauk SSSR Ser. Mat., 45:2 (1981), 266–290 ; Math. USSR-Izv., 18:2 (1982), 227–247 |
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1979 |
9. |
N. P. Korneichuk, “Diameters in $L_p$ of classes of continuous and differentiable functions and the optimal reconstruction of functions and their derivatives”, Dokl. Akad. Nauk SSSR, 244:6 (1979), 1317–1321 |
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10. |
N. P. Korneichuk, S. M. Nikol'skii, I. A. Shevchuk, “Vladislav Kirillovich Dzyadyk (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 34:4(208) (1979), 231–237 ; Russian Math. Surveys, 34:4 (1979), 213–221 |
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1978 |
11. |
N. P. Korneichuk, “Sharp inequalities for best approximation by splines”, Dokl. Akad. Nauk SSSR, 242:2 (1978), 280–283 |
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1976 |
12. |
N. P. Korneichuk, “Best approximation by splines on classes of periodic functions in the metric of $L$”, Mat. Zametki, 20:5 (1976), 655–664 ; Math. Notes, 20:5 (1976), 927–933 |
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1975 |
13. |
N. P. Korneichuk, “Certain relations between the approximative characteristics of classes of periodic functions”, Trudy Mat. Inst. Steklov., 134 (1975), 115–123 ; Proc. Steklov Inst. Math., 134 (1977), 131–140 |
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1974 |
14. |
N. P. Korneichuk, “On extremal problems in the theory of best approximation”, Uspekhi Mat. Nauk, 29:3(177) (1974), 9–42 ; Russian Math. Surveys, 29:3 (1974), 7–43 |
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1973 |
15. |
N. P. Korneichuk, “On uniform approximation of periodic functions by subspaces of finite dimension”, Dokl. Akad. Nauk SSSR, 213:3 (1973), 525–528 |
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1972 |
16. |
N. P. Korneichuk, “Inequalities for differentiable periodic functions and best approximation of one class of functions by another”, Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972), 423–434 ; Math. USSR-Izv., 6:2 (1972), 417–428 |
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17. |
N. P. Korneichuk, “A note on Jackson's theorem for differentiable functions”, Mat. Zametki, 12:5 (1972), 517–522 ; Math. Notes, 12:5 (1972), 747–750 |
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1971 |
18. |
N. P. Korneichuk, “Extreme values of functionals and best approximation on classes of periodic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 35:1 (1971), 93–124 ; Math. USSR-Izv., 5:1 (1971), 97–129 |
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19. |
N. P. Korneichuk, “Diameters of classes of continuous functions in the $L_p$ space”, Mat. Zametki, 10:5 (1971), 493–500 ; Math. Notes, 10:5 (1971), 719–723 |
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20. |
V. L. Velikin, N. P. Korneichuk, “Accurate estimates of deviations of spline approximations to classes of differentiable functions”, Mat. Zametki, 9:5 (1971), 483–494 ; Math. Notes, 9:5 (1971), 278–284 |
1
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21. |
N. P. Korneichuk, A. I. Polovina, “Algebraic-polynomial approximation of functions satisfying a Lipschitz condition”, Mat. Zametki, 9:4 (1971), 441–447 ; Math. Notes, 9:4 (1971), 254–257 |
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1970 |
22. |
N. P. Korneichuk, “Upper bounds of best approximations on classes of differentiable periodic functions in the metrics $C$ and $L$”, Dokl. Akad. Nauk SSSR, 190:2 (1970), 269–271 |
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1969 |
23. |
N. P. Korneichuk, N. E. Lushpai, “Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969), 1416–1437 ; Math. USSR-Izv., 3:6 (1969), 1335–1355 |
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1968 |
24. |
N. P. Korneichuk, “Best cubature formulas for some classes of functions of many variables”, Mat. Zametki, 3:5 (1968), 565–576 ; Math. Notes, 3:5 (1968), 360–367 |
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1967 |
25. |
N. P. Korneichuk, “Precise estimates for the norms of differentiable periodic functions in the $L$ metric”, Mat. Zametki, 2:6 (1967), 569–576 ; Math. Notes, 2:6 (1967), 839–843 |
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1966 |
26. |
N. P. Korneichuk, A. I. Polovina, “Approximation of continuous and differentiable functions by algebraic polynomials on an interval”, Dokl. Akad. Nauk SSSR, 166:2 (1966), 281–283 |
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1963 |
27. |
N. P. Korneichuk, “The exact value of best approximations and widths of certain classes of functions”, Dokl. Akad. Nauk SSSR, 150:6 (1963), 1218–1220 |
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28. |
N. P. Korneichuk, “On the best approximation of continuous functions”, Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963), 29–44 |
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1962 |
29. |
N. P. Korneichuk, “The exact constant in D. Jackson’s theorem on best uniform approximation of continuous periodic functions”, Dokl. Akad. Nauk SSSR, 145:3 (1962), 514–515 |
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30. |
N. P. Korneichuk, “On the existence of a linear polynomial operator giving the best approximation on a class of functions”, Dokl. Akad. Nauk SSSR, 143:1 (1962), 25–27 |
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1961 |
31. |
N. P. Korneichuk, “Best uniform approximation of differentiable functions”, Dokl. Akad. Nauk SSSR, 141:2 (1961), 304–307 |
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32. |
N. P. Korneichuk, “The best uniform approximation in certain classes of continuous functions”, Dokl. Akad. Nauk SSSR, 140:4 (1961), 748–751 |
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1998 |
33. |
V. V. Andrievskii, A. A. Gonchar, V. Ya. Gutlyanskii, V. K. Dzyadyk, A. A. Dovgoshey, N. P. Korneichuk, O. I. Kuznetsova, V. V. Maimeskul, F. G. Maksudov, S. M. Nikol'skii, I. V. Skrypnik, R. M. Trigub, “Vladimir Ivanovich Belyi (obituary)”, Uspekhi Mat. Nauk, 53:6(324) (1998), 231–232 ; Russian Math. Surveys, 53:6 (1998), 1333–1334 |
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1995 |
34. |
O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 50:6(306) (1995), 223–228 ; Russian Math. Surveys, 50:6 (1995), 1321–1327 |
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1992 |
35. |
O. V. Besov, E. A. Volkov, V. K. Dzyadyk, N. P. Korneichuk, L. D. Kudryavtsev, P. I. Lizorkin, “Sergei Mikhailovich Nikol'skii (On occasion of eighty fifth birthday)”, Trudy Mat. Inst. Steklov., 201 (1992), 3–13 ; Proc. Steklov Inst. Math., 201 (1994), 1–9 |
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1991 |
36. |
V. S. Vladimirov, V. K. Dzyadyk, N. P. Korneichuk, L. D. Kudryavtsev, “Sergei Mikhailovich Nikol'skii (on his eighty-fifth birthday)”, Uspekhi Mat. Nauk, 46:3(279) (1991), 207–214 ; Russian Math. Surveys, 46:3 (1991), 241–250 |
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1989 |
37. |
S. M. Nikol'skii, N. P. Korneichuk, I. A. Shevchuk, “Vladislav Kirillovich Dzyadyk (on his seventieth birthday)”, Uspekhi Mat. Nauk, 44:4(268) (1989), 243–244 ; Russian Math. Surveys, 44:4 (1989), 213–215 |
2
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1970 |
38. |
N. P. Korneichuk, “Поправки к статье "Верхние грани наилучших приближений на классах дифференцируемых
периодических функций в метриках $C$ и $L$" (ДАН, т. 190, № 2, 1970 г.)”, Dokl. Akad. Nauk SSSR, 193:3 (1970), 8 |
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1962 |
39. |
N. P. Korneichuk, “Поправки к статье “О существовании линейного полиномиального оператора, дающего на классе
функций наилучшее приближение” (ДАН, т. 143, № 1, 1962 г.)”, Dokl. Akad. Nauk SSSR, 147:1 (1962), 10 |
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1960 |
40. |
N. P. Korneichuk, “Поправки к статье “О приближении периодических функций, удовлетворяющих
условию Липшица, суммами Бернштейна–Рогозинского” (ДАН, т. 125, № 2, 1959 г.)”, Dokl. Akad. Nauk SSSR, 130:4 (1960), 718 |
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