1
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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.
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2
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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).
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3
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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.
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4
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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).
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5
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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.
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6
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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.
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7
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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).
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8
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Dzyadyk, V. K. Approximation methods
for solutions of differential and integral equations. VSP,
Utrecht, 1995. ii+325 pp. ISBN: 90-6764-194-4
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9
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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).
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10
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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.
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11
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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.
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12
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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.
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13
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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.
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14
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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.
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15
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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.
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16
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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.
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17
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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.
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18
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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
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19
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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.
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20
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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.
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21
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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.
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22
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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.
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23
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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.
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24
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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.
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25
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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.
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26
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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.
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27
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Dzyadyk, V. K. On the theory of linear
equations of Fuchs type. (Russian) Uspekhi Mat. Nauk
40 (1985), no. 4(244), 163-164.
|
28
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Dzyadyk, V. K. The A-method and rational
approximation. (Russian) Akad. Nauk Ukrain. SSR Inst.
Mat. Preprint 1985, no. 18, 3-6.
|
29
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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.
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30
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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.
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31
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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.
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32
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Dzyadyk, V. K. The A-method and rational
approximation. (Russian) Ukrain. Mat. Zh. 37
(1985), no. 2, 250-252, 272.
|
33
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Dzyadyk, V. K. The generalized moment
problem and Pade approximation. (Russian) Serdica
10 (1984), no. 1, 49-54.
|
34
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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.
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35
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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.
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36
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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.
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37
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Dzyadyk, V. K. A result of P. L.
Chebyshev in approximation theory. (Russian) Istor.-Mat.
Issled. No. 26 (1982), 168-171.
|
38
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Dzyadyk, V. K. The generalized moment
problem and Pade approximation. (Russian) Ukrain.
Mat. Zh. 35 (1983), no. 3,
297-302, (403).
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39
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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.
|
40
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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.
|
41
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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.
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42
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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.
|
43
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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.
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44
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Dzjadyk, V. K. On a generalization of
the moment problem. (Russian) Dokl. Akad. Nauk
Ukrain. SSR Ser. A 1981, no. 6,
8-12, 107.
|
45
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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.
|
46
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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.
|
47
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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.
|
48
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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.
|
49
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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.
|
50
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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.
|
51
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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.
|
52
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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.
|
53
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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.
|
54
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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.
|
55
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Dzyadyk, V. K. On the best trigonometric
approximation in the L metric of some functions.
(Russian) Dokl. Akad. Nauk SSSR 129 1959
19-22.
|
56
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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.
|
57
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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.
|
58
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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.
|
59
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Dzyadyk, V. K. Continuation of functions
satisfying a Lipschitz condition in the  metric.
(Russian) Mat. Sb. N.S. 40(82) (1956),
239-242.
|
60
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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.
|
61
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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.
|
62
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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.
|
63
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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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