Vol. 10 No. 1 (2013): Approximation Theory of Functions and Related Problems

Research papers

• Ridge approximation of some classes of harmonic functions

  V. F. Babenko, D. A. Levchenko

  7-17

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• Estimates of approximation of elements of Hilbert space

  V. F. Babenko, S. V. Savela

  18-27

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• On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis

  S. B. Vakarchuk, A. V. Shvachko

  28-38

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• Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of $(\psi,\bar{\beta})$-differentiable functions

  V. A. Voĭtovych, A. P. Musienko

  39-58

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• On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions

  M. V. Gayevs’kyĭ, P. V. Zadereĭ

  59-68

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• Construction of the Padé approximants for some Appell hypergeometric series by means of method of generalized moment representations

  A. P. Golub, L. O. Chernets’ka

  69-94

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• Ortho-projective widths of classes $B_{p,\theta}^\Omega$ of periodic functions of many variables in the space $L_q$

  N. V. Derev’yanko

  95-109

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• Degree of comonotone approximation of periodic functions

  G. A. Dzyubenko

  110-125

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• Estimates of the convergence of the Remezy type algorithm for interpolation classes

  Ya. G. Ivaschuk

  126-132

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• On mappings which preserves hypercomplex convexity

  B. A. Klishchuk

  133-139

  • PDF (Русский)

• Kolmogorov problem on a class of multiple monotone functions

  O. V. Kovalenko

  140-147

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• Estimates of approximation characteristics of classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of the mixed modulo of continuity

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

  148-160

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• Estimate of the mixed derivative of holomorphic functions in polydisk

  I. Yu. Meremelya, M. V. Savchuk

  161-168

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• Approximation of functions from isotropic classes $B_{1,\theta}^{\Omega}(\mathbb{R}^d)$ to integer functions of exponential type

  V. V. Mironyuk

  169-183

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• Majorants in Hardy-Littlewood type theorem for higher order derivatives of analytic functions

  O. M. Piddubnyĭ, V. V. Savchuk

  184-198

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• On estimates of singular numbers of Hilbert-Schmidt integral operator in terms of modules of continuity of its kernel

  E. I. Radzievskaya

  199-203

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• Estimates from below for Kolmogorov widths in classes of Poisson integral

  A. S. Serdyuk, V. V. Bodenchuk

  204-221

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• Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions

  A. S. Serdyuk, U. Z. Grabova

  222-244

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• Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.

  A. S. Serdyuk, I. V. Sokolenko

  245-254

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• Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions

  A. S. Serdyuk, T. A. Stepanyuk

  255-282

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• On the mean convergence of the Taylor and Laurent series

  R. V. Tovkach

  283-295

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• Rational approximation of classes of convolutions of periodic functions

  S. O. Chaĭchenko

  296-303

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• Order estimates for some approximative characteristics

  A. L. Shydlich

  304-327

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• Estimates for approximative characteristics of classes $S^r_{p,\theta}B(\mathbb{R}^d)$ of functions in the uniform metric.

  S. Ya. Yanchenko

  328-340

  • PDF (Українська)