Dzyadyk Vladislav Kirillovich

Publications in Math-Net.Ru

1. A polynomial approximation method for the solution of a boundary value problem and its derivatives for linear ordinary differential equations
   
   Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988),  1070–1081
2. On the theory of special functions and their approximations
   
   Mat. Sb. (N.S.), 131(173):4(12) (1986),  438–464
3. An approximation-iteration method of polynomial approximation for the solution of the Cauchy problem for ordinary differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986),  357–372
4. On the theory of linear equations of Fuchsian type
   
   Uspekhi Mat. Nauk, 40:4(244) (1985),  163–164
5. On the efficient construction of good uniform polynomial approximations of the functions $|x|^r$, $r>0$
   
   Trudy Mat. Inst. Steklov., 172 (1985),  140–154
6. Extension of functions that are traces on an arbitrary subset of the line of functions with given second modulus of continuity
   
   Izv. Akad. Nauk SSSR Ser. Mat., 47:2 (1983),  248–267
7. Asymptotics of diagonal Padé approximants of the functions $\sin z$, $\cos z$, $\operatorname{sinh}z$ and $\operatorname{cosh}z$
   
   Mat. Sb. (N.S.), 108(150):2 (1979),  247–267
8. The rate of convergence of Padé approximants for some elementary functions
   
   Mat. Sb. (N.S.), 107(149):3(11) (1978),  347–363
9. An application of the methods of the theory of quasiconformal mappings to obtain direct theorems for the approximation of functions
   
   Dokl. Akad. Nauk SSSR, 225:3 (1975),  491–494
10. On the theory of the approximation of functions on closed sets of the complex plane (apropos of a certain problem of S. M. Nikol'skii)
    
    Trudy Mat. Inst. Steklov., 134 (1975),  63–114
11. The approximation method for approximating solutions of linear differential equations by algebraic polynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 38:4 (1974),  937–967
12. On best approximation in classes of periodic functions defined by integrals of a linear combination of absolutely monotonic kernels
    
    Mat. Zametki, 16:5 (1974),  691–701
13. On convergence conditions for Dirichlet series on closed polygons
    
    Mat. Sb. (N.S.), 95(137):4(12) (1974),  475–493
14. The representation of analytic functions by Dirichlet series at the boundary of the convergence domain
    
    Mat. Zametki, 14:6 (1973),  769–780
15. On the application of linear methods to polynomial approximation of solutions of ordinary differential equations and Hammerstein integral equations
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:4 (1970),  827–848
16. Uniform approximation of functions of a complex variable on closed sets with corners
    
    Mat. Sb. (N.S.), 75(117):4 (1968),  502–557
17. Approximation of functions by positive linear operators and singular integrals
    
    Mat. Sb. (N.S.), 70(112):4 (1966),  508–517
18. Theorems on the transformation and approximation of analytic functions
    
    Dokl. Akad. Nauk SSSR, 151:2 (1963),  269–272
19. On the theory of approximation of continuous functions in closed regions and on a problem of S. M. Nikol'skii. II
    
    Izv. Akad. Nauk SSSR Ser. Mat., 27:5 (1963),  1135–1164
20. On the approximation of continuous functions in closed regions with corners and on a problem of S. M. Nikol'skii. I
    
    Izv. Akad. Nauk SSSR Ser. Mat., 26:6 (1962),  797–824
21. On the question of the best approximation of absolutely monotonic and certain other functions in the metric $L$, by trigonometric polynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 25:2 (1961),  173–238
22. Geometrical definition of analytic functions
    
    Uspekhi Mat. Nauk, 15:1(91) (1960),  191–194
23. Best approximation on classes of periodic functions defined by kernels which are integrals of absolutely monotone functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:6 (1959),  933–950
24. On a problem of S. M. Nikol'skii in a complex region.
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:5 (1959),  697–736
25. A further strengthening of Jackson's theorem on the approximation of continuous functions by ordinary polynomials
    
    Dokl. Akad. Nauk SSSR, 121:3 (1958),  403–406
26. Approximation of functions by ordinary polynomials on a finite interval of the real axis
    
    Izv. Akad. Nauk SSSR Ser. Mat., 22:3 (1958),  337–354
27. Constructive characterization of functions satisfying the condition $\operatorname{Lip}\alpha$ ($0<\alpha<1$) on a finite segment of the real axis
    
    Izv. Akad. Nauk SSSR Ser. Mat., 20:5 (1956),  623–642
28. Continuation of functions satisfying a Lipschitz condition in the $L_p$ metric
    
    Mat. Sb. (N.S.), 40(82):2 (1956),  239–242
29. On best approximation in the class of periodic functions having a bounded $s$-th derivative $(0<s<1)$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 17:2 (1953),  135–162


30. Vladimir Ivanovich Belyi (obituary)
    
    Uspekhi Mat. Nauk, 53:6(324) (1998),  231–232
31. Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  223–228
32. Sergei Mikhailovich Nikol'skii (On occasion of eighty fifth birthday)
    
    Trudy Mat. Inst. Steklov., 201 (1992),  3–13
33. Sergei Mikhailovich Nikol'skii (on his eighty-fifth birthday)
    
    Uspekhi Mat. Nauk, 46:3(279) (1991),  207–214
34. Sergei Mikhailovich Nikol'skii (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 40:5(245) (1985),  269–278
35. Sergei Mikhailovich Nikol'skii (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 30:4(184) (1975),  271–280
36. Sergei Mikhailovich Nikol'skii (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 20:5(125) (1965),  275–287