Vol. 12 No. 4 (2015): Approximation Theory of Functions and Related Problems

Research papers

• Necessary conditions for convergence for one class of two-dimensional continuous fractions with complex elements

  T. M. Antonova, O. M. Sus

  8 - 28

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• Exact estimates of products of internal radii of non-overlapping domains in the complex plane

  A. K. Bahtin, I. Y. Dvorak, I. V. Denega

  29 - 36

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• Approximation of classes $\overline{\psi}$-differentiated functions by the Fourier sums

  V. I. Bodra, P. V. Zaderey

  37 - 53

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• Signs of convergence of periodic branched chain shapes of a special form

  M. M. Bubnyak

  54 - 66

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• Best approximation by “angles” of analytic in the unit bidisk functions

  S. B. Vakarchuk, M. B. Vakarchuk

  67 - 78

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• On Lebesgue inequality of the Vallée-Poussin sums on classes ${C}^{\overline{\psi}}C$

  M. A. Veremiy, P. V. Zaderey

  79 - 91

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• Padé type approximants for some special series of two variables

  H. M. Veselovska, A. P. Golub

  92 - 110

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• Orthoprotection widths of classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$

  H. M. Vlasyk

  111 - 124

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• Lebesgue type inequalities for interpolation analogues of Valle Poussin sums on sets of infinitely differentiable functions

  V. A. Voitovych, A. P. Musienko

  125 - 137

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• Extreme partition the complex plane and inequalities for products of internal radii of domains

  V. E. Vyun, I. V. Denega, A. L. Tarhonskiy

  138 - 143

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• Estimates of the group $\varphi$ -deviations of analytic functions

  M. V. Gaevskiy, P. V. Zaderey

  154 - 164

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• Linear widths of classes $S_{p,\theta}^\Omega B$ of periodic functions of several variables

  N. V. Devevyanko, O. I. Cheremshynska

  165- 185

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• Restrictions for order of q-monotone approximation of periodic functions

  G. A. Dzyubenko

  186 - 196

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• The shadow problem for a family of convex sets

  Yu. B. Zelinskyi

  197 - 204

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• Estimates of the orthogonal widths of the classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of many variables with given majorant of the mixed moduli of continuity

  A. F. Konograi, O. V. Fedunyk-Yaremchuk

  205 - 215

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• The Pomp'eiu-Landau-Sz'asz's extremal problem for bounded holomorphic functions in bidisk

  I. Yu. Meremelya

  216 - 225

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• Two properties of the Thiele reciprocal derivative

  M. M. Pahirya

  226 -234

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• Entropy numbers and Kolmogorov widths of Nikol’skii-Besov classes of periodic functions of two variables in the space $L_{\infty}$

  A. S. Romanyuk

  235 - 252

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• Nonlinear approximation in spaces of multiple sequences

  V. S. Romanyuk

  253 - 261

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• Supplement to F. Wiener sieve theorem

  V. V. Savchuk, S. O. Chaichenko

  262 - 272

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• Asymptotic behavior of the Orlicz-Sobolev classes at infinity

  R. R. Salimov

  273 - 284

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• The set of measure zero, which contains spheres of arbitrary radii

  M. V. Stefanchuk, M. V. Tkachuk

  285 - 289

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• On best nonsymmetric $L_1$-approximations of some classes of convolutions with generalized splines

  I. A. Shevchenko

  290 - 298

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• Greedy algorithms of classes $(\psi,\beta)$-differentiable periodic functions

  V. V. Shkapa

  299 - 312

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• Integral theorems for monogenic functions in commutative algebras

  V. S. Shpakivskyi

  313 - 328

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• Pade approximants of the q-analogue of the exponent and their generalizations

  N. M. Gavruliuk, A. P. Golub

  144 - 153

  • PDF (Українська)