Motornyi Vitalii Pavlovich

Publications in Math-Net.Ru

1. On the Nikol'skii and Potapov classes of functions
   
   Trudy Mat. Inst. Steklova, 293 (2016),  224–235
2. One-Sided Approximation of Truncated Powers by Algebraic Polynomials in the Mean
   
   Trudy Mat. Inst. Steklova, 248 (2005),  185–193
3. Approximation of a Class of Singular Integrals by Algebraic Polynomials with Regard to the Location of a Point on an Interval
   
   Trudy Mat. Inst. Steklova, 232 (2001),  268–285
4. On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivative
   
   Izv. RAN. Ser. Mat., 63:3 (1999),  147–168
5. On the asymptotic behavior of best approximations of classes of differentiable functions by algebraic polynomials in the mean
   
   Dokl. Akad. Nauk, 345:3 (1995),  306–307
6. Best average approximation of the classes of differentiable functions by algebraic polynomials
   
   Trudy Mat. Inst. Steklov., 210 (1995),  171–188
7. On formulas for the approximate computation of integrals
   
   Trudy Mat. Inst. Steklov., 180 (1987),  161–163
8. Approximation in the mean of functions by Fourier–Legendre sums
   
   Dokl. Akad. Nauk SSSR, 259:1 (1981),  39–42
9. Some extremal problems of theory of quadrature and approximation of functions
   
   Mat. Zametki, 19:2 (1976),  299–311
10. Diameters of some classes of differentiable periodic functions in the space $L$
    
    Mat. Zametki, 17:4 (1975),  531–543
11. On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974),  583–614
12. Approximation of periodic functions by trigonometric polynomials in the mean
    
    Mat. Zametki, 16:1 (1974),  15–26
13. On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of periodic differentiable functions
    
    Dokl. Akad. Nauk SSSR, 211:5 (1973),  1060–1062
14. On the mean convergence of Fourier series in Legendre polynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973),  135–147
15. On mean convergence of Fourier series in Legendre polynomials
    
    Dokl. Akad. Nauk SSSR, 204:4 (1972),  788–790
16. Approximation of functions by algebraic polynomials in the $L_p$ metric
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:4 (1971),  874–899
17. Certain questions of the approximation of functions by algebraic polynomials with respect to an integral metric
    
    Dokl. Akad. Nauk SSSR, 172:3 (1967),  537–540
18. An inequality for the moduli of smoothness of a periodic function with bounded derivative
    
    Dokl. Akad. Nauk SSSR, 154:1 (1964),  45–47
19. On the best approximation of functions of two variables of the form $\varphi(x)+\psi(y)$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 27:6 (1963),  1211–1214


20. Nikolai Pavlovich Korneichuk (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 45:3(273) (1990),  207–209
21. Nikolai Pavlovich Korneichuk (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 36:2(218) (1981),  209–213