Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 3

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

2011, Volume 17, Number 3

Contents

Trudy Instituta Matematiki i Mekhaniki UrO RAN

	Yu. N. Subbotin and N. I. Chernykh's joint research activities		4
	Yurii Nikolaevich Subbotin. On the occasion of his 75th birthday		8
	Nikolai Ivanovich Chernykh. On the occasion of his 75th birthday		14
	Several sketches in a spline tonality A. Yu. Shadrin		19
	On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector Carl de Boor		24
	On ill-posed problems of localization of singularities A. L. Ageev, T. V. Antonova		30
	Best approximation of the operator of analytic continuation on the class of functions analytic in a strip R. R. Akopyan		46
	Note on estimates for the growth order of sequences of multiple rectangular Fourier sums N. Yu. Antonov		55
	Kolmogorov-type inequalities for the norms of Riesz derivatives of multivariable functions and some applications V. F. Babenko, N. V. Parfinovich		60
	Estimates of the Lebesgue function of Fourier sums over trigonometric polynomials orthogonal with a weight not belonging to the spaces $L^r$ $(r>1)$ V. M. Badkov		71
	Influence of smoothness on the error of approximation of derivatives under local interpolation on triangulations N. V. Baidakova		83
	On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal V. S. Balaganskii		98
	On the extremal problem about the minimum of the free term of a nonnegative trigonometric polynomial A. S. Belov		105
	Several extremal approximation problems for the characteristic function of a spherical layer M. V. Deikalova		122
	A version of the Turan problem for positive definite functions of several variables A. V. Efimov		136
	Sufficient stability conditions in the traveling salesman problem E. E. Ivanko		155
	Sharp Lebesgue constants for interpolatory $\mathcal L$-splines of a formally self-adjoint differential operator V. A. Kim		169
	On the reconstruction of functions by the values of the $n$th differences with step $1/n$ S. V. Konyagin, A. Yu. Popov		178
	Some classes of functions of a linear closed operator L. F. Korkina, M. A. Rekant		186
	On problems of putting a carrier rocket into specified elliptic orbits E. K. Kostousova, V. I. Pochinskii		201
	The best $L_p$ approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables A. A. Koshelev		217
	The form of an extremal function in the Delsarte problem of finding an upper bound for the kissing number in the three-dimensional space N. A. Kuklin		225
	Independence of error estimates of interpolation by cubic polynomials from the angles of a triangle N. V. Latypova		233
	On symmetrical $4$-extensions of the grid $\Lambda^2$ E. A. Neganova, V. I. Trofimov		242
	Interpolation in a ball with a minimum value of the $L_p$-norm of the Laplace operator S. I. Novikov		258
	Asymptotics of a solution to a linear optimal control problem in the singular case Yu. V. Parysheva		266
	Chromatic uniqueness of elements of height 2 in lattices of complete multipartite graphs T. A. Senchonok		271
	Sharp Markov brothers type inequality in the spaces $L_p$, $L_1$ on a closed interval I. E. Simonov		282
	Form preservation under approximation by local exponential splines of an arbitrary order E. V. Strelkova, V. T. Shevaldin		291
	On relative widths of classes of differentiable functions. III Yu. N. Subbotin, S. A. Telyakovskii		300
	Iterative methods for solving linear operator equations in Banach spaces P. A. Chistyakov		303
	Two-scale relations for analogs of basis splines of small degrees V. T. Shevaldin		319