1

Dzyadyk, V. K.; Shevchuk I.A. Theory of Uniform Approximation of Functions by Polynomials. Walter De Gruyter, 2008. 480 pp. ISBN: 9783110201475.

2

Andrievskii, V.V.; Belyi, V. I.; Dzyadyk, V. K. Conformal invariants in the constructive theory of functions of a complex variable (Russian). Naukova Dumka, Kiev, 1998. 224 pp. ISBN: 5-12-004258-9.

3

Dzyadik, V. K.; Shevchuk, I. O. Remarks on the Lebesgue constant of the Rogosinski kernel. (Ukrainian) Ukrain. Mat. Zh. 49 (1997), no. 7, 1002-1004; translation in Ukrainian Math. J. 49 (1997), no. 7, 1125-1128 (1998).

4

Dzyadyk, V. K. Approximative-iterative method for solving non-linear differential and integral equations. Algebraic and geometric methods in mathematical physics (Kaciveli, 1993), 409-414, Math. Phys. Stud., 19, Kluwer Acad. Publ., Dordrecht, 1996.

5

Baranovskii, F. T.; Berezanskii, Yu. M.; Buldygin, V. V.; Daletskii, Yu. L.; Dzyadyk, V. K.; Dobrovolskii, V. A.; Lozovik, V. G.; Mitropolskii, Yu. A.; Samoilenko, A. M.; Skrypnik, I. V.; Tamrazov, P. M.; Yaremchuk, F. P. To the memory of Valentin Anatolievich Zmorovich. Ukrainian Math. J. 46 (1994), no. 8, 1222-1223 (1996); translated from Ukrain. Mat. Zh. 46 (1994), no. 8, 1110-1111(Ukrainian).

6

Dzyadik, V. K.; Mitropolskii, Yu. O.; Samoilenko, A. M. Evgenii Yakovich Remez (on the centenary of his birth). (Ukrainian) Ukrain. Mat. Zh. 48 (1996), no. 2, 285-286; translation in Ukrainian Math. J. 48 (1996), no. 2, 322-323.

7

Andrievskii, V. V.; Belyi, V. I.; Dzjadyk V. K. Conformal invariants in constructive theory of functions of complex variable. Translated from the Russian by D. N. Kravchuk. Advanced Series in Mathematical Science and Engineering, 1. World Federation Publishers Company, Atlanta, GA, 1995. x+199 pp. ISBN: 1-885978-04-9.

8

Dzyadyk, V.K.; Kovtunets, V.V. Convergence of an algorithm for constructing snakes. Ukrainian Math. J. 46 (1994), no. 7, 903-911 (1995); translated from Ukrain. Mat. Zh. 46 (1994), no. 7, 825-832(Ukrainian).

9

Dzyadyk, V. K. Approximation methods for solutions of differential and integral equations. VSP, Utrecht, 1995. ii+325 pp. ISBN: 90-6764-194-4

10

Goldberg, A.; Gorbachuk, M.; Dzyadik, V.; et al. Ivan Georgiiovich Sokolov. (Ukrainian) Ukrain. Mat. Zh. 45 (1993), no. 8, 1184; translation in Ukrainian Math. J. 45 (1993), no. 8, 1325 (1994).

11

Dzyadyk, V. K.; Gavrilchenko, I. V. Application of an approximation-iteration method to the solution of the de la Vallee-Poussin problem. (Russian) Akad. Nauk Ukrainy Inst. Mat. Preprint 1993, no. 10, 24 pp.

12

Besov, O. V.; Volkov, E. A.; Dzyadyk, V. K.; Korneichuk, N. P.; Kudryavtsev, L. D.; Lizorkin, P. I. Sergei Mikhailovich Nikolskii (on the occasion of his eighty-fifth birthday). (Russian) Trudy Mat. Inst. Steklov. 201 (1992), Issled. po Teor. Differ. Funktsii Mnogikh Peremen. i ee Prilozh. 15, 3-13; translation in Proc. Steklov Inst. Math.

13

Dzyadyk, V. K.; Vasilenko, Ya. F. Application of the approximation-iterative method to the solution of stiff problems for ordinary differential equations. (Russian) Akad. Nauk Ukrainy Inst. Mat. Preprint 1991, no. 55, 39 pp.

14

Vladimirov, V. S.; Dzyadyk, V. K.; Korneichuk, N. P.; Kudryavtsev, L. D. Sergei Mikhailovich Nikolskii (on the occasion of his eightieth birthday). (Russian) Uspekhi Mat. Nauk 46 (1991), no. 3(279), 207-214; translation in Russian Math. Surveys 46 (1991), no. 3, 241-250.

15

Dzyadyk, V. K.; Basov, A. M. Effective solution of boundary value problems for systems of ordinary differential equations. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1990, no. 29, 21 pp.

16

Dzyadyk, V. K. New approaches to the theory of special functions and their approximations. (Russian) Theory of functions and approximations, Part 1 (Russian) (Saratov, 1988), 67-74, Saratov. Gos. Univ., Saratov, 1990.

17

Dzyadyk, V. K.; Alibekov, G. A. Summation of the Faber series by linear Riesz and Fejer methods in domains with a piecewise-smooth boundary. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1989, no. 41, 54 pp.

18

Dzyadyk, V. K. Approksimatsionnye metody resheniya differentsialnykh i integralnykh uravnenii (Russian) [Approximation methods for solving differential and integral equations] ``Naukova Dumka'', Kiev, 1988. 304 pp. ISBN: 5-12-009297-7.

19

Dzyadyk, V. K.; Ostrovetskii, L. A. An approximation method for the approximation by polynomials of the solution of a boundary value problem and its derivatives for ordinary linear differential equations. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 5, 1070-1081, 1119; translation in Math. USSR-Izv. 33 (1989), no. 2, 391-402

20

Dzyadyk, V. K. A simple approach to the solution of Fredholm integral equations of the second kind. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1987, no. 11, 20 pp.

21

Dzyadyk, V. K.; Ostrovetskii, L. A. An approximation method for solving boundary value problems. (Russian) Ukrain. Mat. Zh. 39 (1987), no. 3, 378-379, 407.

22

Dzyadyk, V. K. On the theory of special functions and their approximations. (Russian) Mat. Sb. (N.S.) 131(173) (1986), no. 4, 438-464, 560; translation in Math. USSR-Sb. 59 (1988), no. 2, 429-458.

23

Dzyadyk, V. K.; Romanenko, Yu. I. Approximation-iterative method for approximating solutions by polynomials of the nonlinear Cauchy problem for equations of hyperbolic type. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1986, no. 63, 20 pp.

24

Dzyadyk, V. K. Approximation methods for solving differential and integral equations and their applications and development. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1986, no. 31, 56 pp.

25

Dzyadyk, V. K. An approximation-iteration method of polynomial approximation for the solution of the Cauchy problem for ordinary differential equations. (Russian) Zh. Vychisl. Mat. i Mat. Fiz. 26 (1986), no. 3, 357-372, 477.

26

Mitropolskii, Yu. A.; Dzyadyk, V. K.; Gavrilyuk, V. T. Evgenii Yakovlevich Remez (on the occasion of the ninetieth anniversary of his birth). (Russian) Ukrain. Mat. Zh. 38 (1986), no. 4, 539-540.

27

Dzyadyk, V. K.; Kolmogorov, A. N.; Kudryavtsev, L. D.; Sobolev, S. L. Sergei Mikhailovich Nikolskii (on the occasion of his eightieth birthday). (Russian) Uspekhi Mat. Nauk 40 (1985), no. 5(245), 269-278.

28

Dzyadyk, V. K. On the theory of linear equations of Fuchs type. (Russian) Uspekhi Mat. Nauk 40 (1985), no. 4(244), 163-164.

29

Dzyadyk, V. K. The A-method and rational approximation. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1985, no. 18, 3-6.

30

Dzyadyk, V. K. Efficient construction of polynomials of good uniform approximation of the functions , r>0. (Russian) Studies in the theory of functions of several real variables and the approximation of functions. Trudy Mat. Inst. Steklov. 172 (1985), 140-154, 353.

31

Dzyadyk, V. K. Studies in approximation theory and the geometric theory of functions at the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR over 50 years. (Russian) Ukrain. Mat. Zh. 36 (1984), no. 5, 567-571.

32

Dzyadyk, V. K. An approximation-iteration method for the approximate solution of the Cauchy problem for ordinary differential equations. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1984, no. 27, 25 pp.

33

Dzyadyk, V. K. The A-method and rational approximation. (Russian) Ukrain. Mat. Zh. 37 (1985), no. 2, 250-252, 272.

34

Dzyadyk, V. K. The generalized moment problem and Pade approximation. (Russian) Serdica 10 (1984), no. 1, 49-54.

35

Dzyadyk, V. K.; Ostrovetskii, L. A. Approximation by polynomials of boundary value problems for ordinary linear differential equations. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1985, no. 11, 31 pp.

36

Dzyadik, V. Polynomial approximation to the solutions of the Cauchy and Goursat problems with applications. Functions, series, operators, Vol. I, II (Budapest, 1980), 441-448, Colloq. Math. Soc. Janos Bolyai, 35, North-Holland, Amsterdam, 1983.

37

Dzjadik, V. K.; Ivanov, V. V. On asymptotics and estimates for the uniform norms of the Lagrange interpolation polynomials corresponding to the Chebyshev nodal points. Anal. Math. 9 (1983), no. 2, 85-97.

38

Dzyadyk, V. K. A result of P. L. Chebyshev in approximation theory. (Russian) Istor.-Mat. Issled. No. 26 (1982), 168-171.

39

Dzyadyk, V. K. The generalized moment problem and Pade approximation. (Russian) Ukrain. Mat. Zh. 35 (1983), no. 3, 297-302, (403).

40

Dzyadyk, V. K.; Shevchuk, I. A. Continuation of functions which, on an arbitrary set of the line, are traces of functions with a given second modulus of continuity. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 47 (1983), no. 2, 248-267.

41

Dzyadyk, V. K.; Podlipenko, Yu. K. A numerical algorithm for solving the nonlinear Goursat problem. (Russian) Investigations in the theory of approximation of functions, pp. 38-51, 100, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1981.

42

Dzyadyk, V. K.; Ostrovetskii, L. A. An approximate method for solving the Goursat problem for linear hyperbolic equations with polynomial coefficients. (Russian) Investigations in the theory of approximation of functions, pp. 20-38, 99, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1981.

43

Dzjadyk, V. K.; Golub, A. P. The generalized moment problem and Pade approximation. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1981, no. 58 en., 3-15.

44

Dzjadyk, V. K.; Ostrovetskii, L. A. Approximation of the solution of the Goursat problem for linear differential equations of hyperbolic type with polynomial coefficients. (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A 1981, no. 8, 28-32, 97.

45

Dzjadyk, V. K. On a generalization of the moment problem. (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A 1981, no. 6, 8-12, 107.

46

Dzjadyk, V. K.; Dzjadyk, S. Ju.; Prypik, A. S. On the asymptotic behavior of the Lebesgue constant in trigonometric interpolation. (Russian) Ukrain. Mat. Zh. 33 (1981), no. 6, 736-744, 859.

47

Dzjadyk, V. K. Behavior of the set of extremal polynomials with respect to a T-system in the presence of constraints. (Russian) Studies in the theory of approximation of functions and their applications (Russian), pp. 56-60, 188, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1978.

48

Dzjadyk, V. K.; Svai, A. I.; Antonjuk, P. E. Approximation of some kernels. (Russian) Studies in the theory of approximation of functions and their applications (Russian), pp. 61-68, 189, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1978.

49

Dzjadyk, V. K. The asymptotic behavior of diagonal Pade approximants of the functions sin z, cos z, sh z and ch z. (Russian) Mat. Sb. (N.S.) 108(150) (1979), no. 2, 247-267, 304.

50

Dzjadyk, V. K.; Filozof, L.I. The convergence rate of Pade approximants for some elementary functions. (Russian) Mat. Sb. (N.S.) 107(149) (1978), no. 3, 347-363, 463.

51

Dzjadyk, V. K. Some special functions and their role in the solution of inhomogeneous differential equations with a turning point. (Russian) The theory of functions and its applications (Russian), pp. 61-81, 209, "Naukova Dumka", Kiev, 1979.

52

Dzjadyk, V. K. The constructive theory of functions on closed sets of the complex plane. (Russian) The theory of the approximation of functions (Proc. Internat. Conf., Kaluga, 1975) (Russian), pp. 157-172, "Nauka", Moscow, 1977.

53

Dzjadyk, V. K. An error estimate of the polynomial approximation of the solutions of ordinary differential equations. (Russian) Ukrain. Mat. Zh. 31 (1979), no. 1, 83-89, 112.

54

Dzjadyk, V. K. Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami. (Russian) [Introduction to the theory of uniform approximation of functions by polynomials] Izdat. ``Nauka'', Moscow, 1977. 511 pp.

55

Dzjadyk, V. K.; Zarickaja, Z. V.; Karpenko, S. F.; Kononova, N. F. Ob effektivnom priblizhenii mnogochlenami elementarnykh funktsii. (Russian) [Efficient approximation by polynomials of elementary functions] Preprint IM-77-21. Akad. Nauk Ukrain. SSR Inst. Mat., Kiev, 1977. 42 pp.

56

Dzyadyk, V. K. On the best trigonometric approximation in the L metric of some functions. (Russian) Dokl. Akad. Nauk SSSR 129 1959 19-22.

57

Dzyadyk, V. K. On a problem of S. M. Nikolskii in a complex region. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 23 1959 697-736.

58

Dzyadyk, V. K. On a maximum problem in a normed linear space. (Ukrainian) Lucki. Ped. Inst. Nauk. Zap. Fiz.-Mat. Ser. 6 1958 no. 3, 75-80.

59

Dzyadyk, V. K. Approximation of functions by ordinary polynomials on a finite interval of the real axis. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 22 1958 337-354.

60

Dzyadyk, V. K. Continuation of functions satisfying a Lipschitz condition in the metric. (Russian) Mat. Sb. N.S. 40(82) (1956), 239-242.

61

Dzyadyk, V. K. Constructive characterization of functions satisfying the condition Lip , 0<<1, on a finite segment of the real axis. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 20 (1956), 623-642.

62

Dzyadyk, V. K. On best approximation in the class of periodic functions having a bounded s-th derivative (0<s<1). (Russian) Izvestiya Akad. Nauk SSSR. Ser. Mat. 17, (1953). 135-162.

63

Timan, A. F.; Dzyadyk, V. K. On best approximation of quasi-smooth functions by ordinary polynomials. (Russian) Doklady Akad. Nauk SSSR (N.S.) 75, (1950). 499-501.

64

Dzyadyk, V. K. On best approximation in the mean of periodic functions with singularities. (Russian) Doklady Akad. Nauk SSSR (N.S.) 77, (1951). 949-952.


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