Trudy Inst. Mat. i Mekh. UrO RAN, 2010, Volume 16, Number 4

JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

2010, Volume 16, Number 4

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
	Approximation of the Hardy–Sobolev class of functions analytic in a half-plane by entire functions of exponential type R. R. Akopyan		18
	On the growth rate of arbitrary sequences of double rectangular Fourier sums N. Yu. Antonov		31
	Sharp inequalities for trigonometric polynomials with respect to integral functionals V. V. Arestov		38
	On one of Geronimus's results A. G. Babenko, Yu. V. Kryakin, V. A. Yudin		54
	Some properties of Jacobi polynomials orthogonal on a circle V. M. Badkov		65
	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
	$L$-approximation of a linear combination of the Poisson kernel and its conjugate kernel by trigonometric polynomials N. A. Baraboshkina		79
	Moving object and observer in a Banach space V. I. Berdyshev		87
	Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity S. N. Vasil'ev		93
	Kolmogorov widths of weighted Sobolev classes on a cube A. A. Vasil'eva		100
	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
	The class of solenoidal planar-helical vector fields V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh		128
	The integral approximation of the characteristic function of a spherical cap by algebraic polynomials M. V. Deikalova		144
	Approximation by third-order local $\mathcal L$-splines with uniform nodes P. G. Zhdanov, V. T. Shevaldin		156
	Estimates for sums of moduli of blocks from trigonometric Fourier series V. P. Zastavnyi		166
	Dunkl theory and Jackson inequality in $L_2(\mathbb R^d)$ with power weight A. V. Ivanov, V. I. Ivanov		180
	A rate $L_p$-version for the Riesz criterion of the absolute convergence of trigonometric Fourier series N. A. Il'yasov		193
	Almost everywhere divergence of lacunary subsequences of partial sums of Fourier series S. V. Konyagin		203
	Reconstruction of controls in parabolic systems by Tikhonov's method with nonsmooth stabilizers A. I. Korotkii, D. O. Mikhailova		211
	Realizability of greedy algorithms E. D. Livshits		228
	Classification of maximal subgroups of odd index in finite groups with simple orthogonal socle N. V. Maslova		237
	On the Jackson–Stechkin inequality for algebraic polynomials A. V. Mironenko		246
	Exact inequality between uniform norms of an algebraic polynomial and its real part on concentric circles in the complex plane A. V. Parfenenkov		254
	New generalization of orthogonal wavelet bases E. A. Pleshcheva		264
	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
	Harmonic wavelets in boundary value problems for harmonic and biharmonic functions Yu. N. Subbotin, N. I. Chernykh		281
	On the rate of approximation of functions in Lipschitz norms S. A. Telyakovskii		297
	On the least measure of the nonnegativity set of an algebraic polynomial with zero weighted mean value on a segment K. S. Tikhanovtseva		300
	On Bohrs inequality V. A. Yudin		312
	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