Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 4

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

2012, Volume 18, Number 4

Contents

Trudy Instituta Matematiki i Mekhaniki UrO RAN

	Best approximation for the analytic continuation operator on the class of analytic functions in a ring R. R. Akopyan		3
	A constructive method for the solution of integral equations with Hilbert kernel R. A. Aliev, A. F. Amrakhova		14
	On the growth order of sequences of double rectangular Fourier sums for functions from the classes $\varphi(L)$ N. Yu. Antonov		26
	On the approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space $L_2(0,\infty)$ V. V. Arestov, M. A. Filatova		35
	Jackson's exact inequality with a special module of continuity A. G. Babenko, N. V. Dolmatova, Yu. V. Kryakin		51
	Trigonometric analogs of the Szegő equiconvergence theorem for Fourier–Jacobi series V. M. Badkov		68
	Upper estimates for the error of approximation of derivatives in a finite element of Hsieh–Clough–Tocher type N. V. Baidakova		80
	On antiproximinal sets in Grothendieck spaces V. S. Balaganskii		90
	Synthesis of electromagnetic field on an antenna array, I N. A. Baraboshkina, V. M. Pleshchev, N. I. Chernykh		104
	Concealment characteristics for a moving object V. I. Berdyshev		110
	On the mechanics of helical flows in an ideal incompressible viscous continuous medium V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh		120
	Orders of approximation by local exponential splines Yu. S. Volkov, E. G. Pytkeev, V. T. Shevaldin		135
	Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden Yu. S. Volkov, V. T. Shevaldin		145
	An estimate of the geometric mean of the derivative of a polynomial in terms of its uniform norm on a closed interval M. R. Gabdullin		153
	Jackson–Nikol'skii inequality between the uniform and integral norms of algebraic polynomials on a Euclidean sphere M. V. Deikalova, V. V. Rogozina		162
	An analog of Rudin's theorem for continuous radial positive definite functions of several variables A. V. Efimov		172
	A stability criterion for optimal solutions of a minimax problem about a partition into an arbitrary number of subsets under varying cardinality of the initial set E. E. Ivanko		180
	On polyhedral estimates for reachable sets of differential systems with bilinear uncertainty E. K. Kostousova		195
	Nonnegativity set of smallest measure for polynomials with zero weighted mean value on a closed interval S. V. Kuznetsov, K. S. Tikhanovtseva		211
	Delsarte method in the problem on kissing numbers in high-dimensional spaces N. A. Kuklin		224
	On S. M. Nikol'skii type inequalities between different metrics J. I. Mamedkhanov		240
	Interpolation on a square with a minimum value of the uniform norm of the Laplace operator S. I. Novikov		249
	Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric S. A. Stasyuk		258
	One-sided widths of classes of smooth functions Yu. N. Subbotin		267
	On the question of the weak invariance of sets with respect to a differential inclusion generated by a control system V. N. Ushakov, A. A. Zimovets		271
	Generalized solutions of singular integro-differential equations in Banach spaces and their applications M. V. Falaleev, S. S. Orlov		286
	Tier mappings and ultrafilter-based transformations A. G. Chentsov		298
	On the exact values of mean $\nu$-widths of some classes of entire functions M. Sh. Shabozov, G. A. Yusupov		315
	From a Letter to the Editor I. E. Simonov		328
	Nikolai Nikolaevich Krasovskii		329
	Vladimir Sergeevich Balaganskii		331