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2010, Volume 16, Number 4  

| General information | Contents |


Trudy Instituta Matematiki i Mekhaniki UrO RAN


Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems
V. I. Ivanov
5–17
Approximation of the Hardy–Sobolev class of functions analytic in a half-plane by entire functions of exponential type
R. R. Akopyan
18–30
On the growth rate of arbitrary sequences of double rectangular Fourier sums
N. Yu. Antonov
31–37
Sharp inequalities for trigonometric polynomials with respect to integral functionals
V. V. Arestov
38–53
On one of Geronimus's results
A. G. Babenko, Yu. V. Kryakin, V. A. Yudin
54–64
Some properties of Jacobi polynomials orthogonal on a circle
V. M. Badkov
65–73
Solution of a first-kind convolution integral equation with a special kernel and a right-hand side
N. V. Baidakova, Yu. N. Subbotin, N. I. Chernykh
74–78
$L$-approximation of a linear combination of the Poisson kernel and its conjugate kernel by trigonometric polynomials
N. A. Baraboshkina
79–86
Moving object and observer in a Banach space
V. I. Berdyshev
87–92
Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity
S. N. Vasil'ev
93–99
Kolmogorov widths of weighted Sobolev classes on a cube
A. A. Vasil'eva
100–116
On the construction of potential and transverse vortex vector fields with lines of zero curvature
V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh
117–127
The class of solenoidal planar-helical vector fields
V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh
128–143
The integral approximation of the characteristic function of a spherical cap by algebraic polynomials
M. V. Deikalova
144–155
Approximation by third-order local $\mathcal L$-splines with uniform nodes
P. G. Zhdanov, V. T. Shevaldin
156–165
Estimates for sums of moduli of blocks from trigonometric Fourier series
V. P. Zastavnyi
166–179
Dunkl theory and Jackson inequality in $L_2(\mathbb R^d)$ with power weight
A. V. Ivanov, V. I. Ivanov
180–192
A rate $L_p$-version for the Riesz criterion of the absolute convergence of trigonometric Fourier series
N. A. Il'yasov
193–202
Almost everywhere divergence of lacunary subsequences of partial sums of Fourier series
S. V. Konyagin
203–210
Reconstruction of controls in parabolic systems by Tikhonov's method with nonsmooth stabilizers
A. I. Korotkii, D. O. Mikhailova
211–227
Realizability of greedy algorithms
E. D. Livshits
228–236
Classification of maximal subgroups of odd index in finite groups with simple orthogonal socle
N. V. Maslova
237–245
On the Jackson–Stechkin inequality for algebraic polynomials
A. V. Mironenko
246–253
Exact inequality between uniform norms of an algebraic polynomial and its real part on concentric circles in the complex plane
A. V. Parfenenkov
254–263
New generalization of orthogonal wavelet bases
E. A. Pleshcheva
264–271
Approximation by local $\mathcal L$-splines that are exact on subspaces of the kernel of a differential operator
E. V. Strelkova, V. T. Shevaldin
272–280
Harmonic wavelets in boundary value problems for harmonic and biharmonic functions
Yu. N. Subbotin, N. I. Chernykh
281–296
On the rate of approximation of functions in Lipschitz norms
S. A. Telyakovskii
297–299
On the least measure of the nonnegativity set of an algebraic polynomial with zero weighted mean value on a segment
K. S. Tikhanovtseva
300–311
On Bohrs inequality
V. A. Yudin
312–313
International conference “Approximation theory” (Moscow, 23–26 august 2010)
N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov
314–315
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