Korneichuk Nikolai Pavlovich

Publications in Math-Net.Ru

1. Best Approximation and Symmetric Decreasing Rearrangements of Functions
   
   Trudy Mat. Inst. Steklova, 232 (2001),  179–193
2. S. M. Nikol'skij and the Soviet School of approximation theory
   
   Trudy Mat. Inst. Steklov., 180 (1987),  3–12
3. S. M. Nikol'skii and the development of research on approximation theory in the USSR
   
   Uspekhi Mat. Nauk, 40:5(245) (1985),  71–131
4. Duality of extremal problems in function spaces and approximation of functions
   
   Uspekhi Mat. Nauk, 40:4(244) (1985),  175–176
5. 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
6. The approximation of functions and their derivatives by interpolatory splines
   
   Dokl. Akad. Nauk SSSR, 264:5 (1982),  1063–1066
7. Precise constant in Jackson's inequality for continuous periodic functions
   
   Mat. Zametki, 32:5 (1982),  669–674
8. 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
9. 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
10. Vladislav Kirillovich Dzyadyk (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 34:4(208) (1979),  231–237
11. Sharp inequalities for best approximation by splines
    
    Dokl. Akad. Nauk SSSR, 242:2 (1978),  280–283
12. Best approximation by splines on classes of periodic functions in the metric of $L$
    
    Mat. Zametki, 20:5 (1976),  655–664
13. Certain relations between the approximative characteristics of classes of periodic functions
    
    Trudy Mat. Inst. Steklov., 134 (1975),  115–123
14. On extremal problems in the theory of best approximation
    
    Uspekhi Mat. Nauk, 29:3(177) (1974),  9–42
15. On uniform approximation of periodic functions by subspaces of finite dimension
    
    Dokl. Akad. Nauk SSSR, 213:3 (1973),  525–528
16. 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
17. A note on Jackson's theorem for differentiable functions
    
    Mat. Zametki, 12:5 (1972),  517–522
18. Extreme values of functionals and best approximation on classes of periodic functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:1 (1971),  93–124
19. Diameters of classes of continuous functions in the $L_p$ space
    
    Mat. Zametki, 10:5 (1971),  493–500
20. Accurate estimates of deviations of spline approximations to classes of differentiable functions
    
    Mat. Zametki, 9:5 (1971),  483–494
21. Algebraic-polynomial approximation of functions satisfying a Lipschitz condition
    
    Mat. Zametki, 9:4 (1971),  441–447
22. 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
23. Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation
    
    Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1416–1437
24. Best cubature formulas for some classes of functions of many variables
    
    Mat. Zametki, 3:5 (1968),  565–576
25. Precise estimates for the norms of differentiable periodic functions in the $L$ metric
    
    Mat. Zametki, 2:6 (1967),  569–576
26. Approximation of continuous and differentiable functions by algebraic polynomials on an interval
    
    Dokl. Akad. Nauk SSSR, 166:2 (1966),  281–283
27. The exact value of best approximations and widths of certain classes of functions
    
    Dokl. Akad. Nauk SSSR, 150:6 (1963),  1218–1220
28. On the best approximation of continuous functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963),  29–44
29. 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
30. 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
31. Best uniform approximation of differentiable functions
    
    Dokl. Akad. Nauk SSSR, 141:2 (1961),  304–307
32. The best uniform approximation in certain classes of continuous functions
    
    Dokl. Akad. Nauk SSSR, 140:4 (1961),  748–751


33. Vladimir Ivanovich Belyi (obituary)
    
    Uspekhi Mat. Nauk, 53:6(324) (1998),  231–232
34. Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  223–228
35. Sergei Mikhailovich Nikol'skii (On occasion of eighty fifth birthday)
    
    Trudy Mat. Inst. Steklov., 201 (1992),  3–13
36. Sergei Mikhailovich Nikol'skii (on his eighty-fifth birthday)
    
    Uspekhi Mat. Nauk, 46:3(279) (1991),  207–214
37. Vladislav Kirillovich Dzyadyk (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 44:4(268) (1989),  243–244
38. 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
39. 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
40. 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