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Vol. 69 No. 5 (2017)

Published: 25.05.2017

Anniversaries

Oleksandr Ivanovych Stepanets’ (on his 75th birthday)

579
- PDF (Ukrainian)

Research articles

Polynomial inequalities in quasidisks on weighted Bergman space

G. A. Abdullayev, F. G. Abdullayev, E. Tunç

582-598
- PDF
On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximations by entire functions of the exponential type on the entire real axis

S. B. Vakarchuk

599-623
- PDF (Russian)
Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial

V. D. Galan, I. A. Shevchuk

624-630
- PDF (Ukrainian)
Padé approximants for some classes of multivariate functions

A. P. Holub, L. O. Lysenko

631-640
- PDF (Ukrainian)
Pointwise estimation of an almost copositive approximation of continuous functions by algebraic polynomials

H. A. Dzyubenko

641-649
- PDF (Ukrainian)
Approximating properties of biharmonic Poisson operators in the classes $\hat{L}^{\psi}_{\beta, 1}$

T. V. Zhyhallo, Yu. I. Kharkevych

650-656
- PDF (Ukrainian)
Direct and inverse theorems on the approximation of 2π -periodic functions by Taylor – Abel – Poisson operators

J. Prestin, V. V. Savchuk, A. L. Shydlich

657
- PDF (Ukrainian)
Trigonometric and linear widths for the classes of periodic multivariable functions

A. S. Romanyuk

670-681
- PDF (Russian)
Kolmogorov widths and entropy numbers in the Orlich spaces with the Luxembourg norm

V. S. Romanyuk

682-694
- PDF (Russian)
Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$

A. S. Serdyuk, T. A. Stepanyuk

695-704
- PDF (Ukrainian)

Short communications

On the fractional integrodifferentiation of complex polynomials in $L_0$

L. G. Kovalenko, E. A. Storozhenko

705-710
- PDF (Russian)
Nikol’skii – Stechkin-type inequalities for the increments of trigonometric polynomials in metric spaces

S. A. Pichugov

711-716
- PDF (Russian)