No 1 (1967)

DOI: https://doi.org/10.15421/24670001

Published: online 10.07.2021, print 17.04.1968

Table of Contents

Preamble
 
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1-2

Articles

Researches on summation problem in Dnipropetrovsk State University
M.I. Alkhimov
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3-15
On approximation of two-variable function by linear positive polynomial operators
V.P. Bugaets
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15-20
On solving paired integral equations by means of $$$p$$$-analytic functions
A.A. Busurulov
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21-25
Development of researches on geometry in Dnipropetrovsk State University
B.S. Vakarchuk, E.F. Lishchinskii
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25-28
Screw surfaces in Lobachevskii space
A.A. Vakarchuk, P.T. Stepanenko
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29-32
On zeros of solutions of nonlinear nonautonomous ordinary differential equations of second order
N.V. Varekh, V.N. Shevelo
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33-41
On linear methods of summation of double Fourier series
V.B. Grishin
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41-48
Iterative methods of solving Theodorsen's equation
I.G. Gubar
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49-55
New classes of formulae, convenient for analytic description of geometric figures
O.V. Zenkin
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56-61
Necessary conditions of extremality in one problem of approximation theory
N.P. Korneichuk
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62-67
Trigonometric polynomials that approximate the function in the best way at given set of points
Ye.I. Kostenko
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68-72
Longitudinal oscillations of relaxating rod with free endpoints
S.S. Kritskaia
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72-77
On approximation of two-variable functions with respect to one metric of Hausdorff type by polynomials of S.N. Bernstein
V.T. Martyniuk
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77-82
To the problem of linear conjugation
I.I. Mishchishin
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82-86
Tauberian theorems for $$$(W^{(\alpha)}, P, Q)$$$-methods of integration of two-variable functions
N.S. Novikova
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86-89
Tauberian theorems for absolute summability
K.M. Slepenchuk
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90-93
On envelope of single-parametric family of limit surfaces in Lobachevskii space
P.T. Stepanenko, B.S. Vakarchuk
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94-101
On approximation by linear function in $$$L_2$$$
V.F. Storchai
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101-104
On mean approximation of continuous periodic functions by functions that satisfy Lipschitz condition
S.P. Turovets
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104-110
Some properties of curvature of Riemannian spaces
S.I. Fedishchenko
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110-115
On convergence of one class of iterative processes
V.M. Chernyshenko
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116-119
On differential properties of one class of nonlinear singular integral operators
D.N. Chernyshenko
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119-126
On sharp upper bound for coefficients of some trigonometric polynomials
I.V. Shcherbakov
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126-140
Research on some linear approximation processes
N.Ya. Yatsenko
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140-149