1987

DOI: https://doi.org/10.15421/24870001

Published: online 22.10.2021, print 28.05.1987

Table of Contents

Preamble
 
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1-3

Articles

Some sharp inequalities for approximations of periodic functions in $$$L_1$$$ space
V.F. Babenko
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4-6
On existence of perfect splines and monosplines with given zeros
V.F. Babenko
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6-9
On solving optimal control problems by means of splines
V.V. Gusar, A.A. Ligun
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10-16
Some conditions of convergence of interpolative Lagrange processes on $$$A_R$$$ and $$$\mathbb{C}^{\infty}$$$ classes
O.V. Davydov
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16-23
Some estimates of approximation of functions by Hermitian splines
O.V. Davydov
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23-30
On approximation by splines of solution of boundary problem
S.G. Dronov
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30-37
The best, by coefficients, weighted quadrature formulas of the form $$$\sum\limits_{k=1}^n \sum\limits_{i=0}^{r-1} A_{ki} f^{(i)}_{jk}$$$ for some classes of differentiable functions
Ye.Ye. Dunaichuk
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37-46
Necessary conditions of optimality of quadrature formulas with weight on some classes of differentiable functions
Ye.Ye. Dunaichuk
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47-52
Automatic choice of parameters at approximation of functions by rational splines
A.D. Malysheva
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52-60
On the best quadrature formula of the form $$$\sum\limits_{k=1}^n p_k f(x_k)$$$ on the class $$$W^2 H^{\omega}$$$
V.P. Motornyi, A.O. Kushch
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60-65
On approximation of continuous functions by piecewise-continuous ones
T.V. Nakonechnaia, T.A. Grankina
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65-71
On choice of nodes for locally mixed splines
A.A. Shumeiko
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71-78
On absolute summability of Fourier integrals with multipliers
L.G. Bojtsun, A.I. Khaliuzova
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78-85
Absolute, in degree $$$p$$$, summability of Fourier series by method of Hausdorff
N.I. Volkova, M.V. Kovtun
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86-94
Absolute, with degree $$$p$$$, matrix summability of the sequences $$$\{ n B_n(t) \}$$$
N.S. Novikova
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94-99
On conditions of strong, of degree $$$p$$$, summability of number series
N.T. Polovina, K.M. Slepenchuk
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99-106
On uniform convergence of some classes of infinite products
K.M. Slepenchuk
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107-112
On solution of initial-boundary problem, connected with longitudinal impact of elastic-viscous rod
S.S. Kritskaia, D.I. Rogach
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112-120
On principal surfaces of quasi-special complexes with twofold fibration in $$$P_3$$$
Ye.N. Ishchenko
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120-123