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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1992, Volume 198

| General information | Contents |


Proceedings of the All-Union school on the theory of functions


Best approximation ol unbounded operators invariant with respect to a shift by the linear bounded operators
V. V. Arestov
3
On the order of approximation of Sobolev class $W_q^r$ by bilinear forms in $L_p$ for $1\le q\le2\le p\le\infty$
M.-B. Babayev
21
Asymptotic and extremal properties of orthogonal polynomials corresponding to weight having singularities
V. M. Badkov
41
Approximation by splines on the infinite interval
Yu. S. Vasil'ev
89
On estimates of sums of Gauss and Waring's problem for prime module
S. V. Konyagin
111
Spline interpolation of multivariate functions and bases in Sobolev spaces
O. V. Matveev
125
On errors of parallelepipedal cubature formulae on classes of differentialable functions
A. V. Reztsov
153
On divergence of Fourier series with respect to permutated Price systems
V. V. Tarkaev
160
On asymptotically monogenic functions
D. S. Telyakovskii
186
On approximation by Fourier sums of differentiable functions of high smoothness
S. A. Telyakovskii
193
On some thin sets in theory of functions and topology
N. N. Kholshchevnikova
212
Widths and Jackson's type inequality for abstract functions
I. G. Tsar'kov
219
Exzact Jackson inequality in $L_p(0,2\pi)$ $(1\le p<2)$
N. I. Chernykh
232
Lower estimations of widths some classes of periodic functions
V. T. Shevaldin
242


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