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

2015, Volume 21, Number 4

| General information | Contents |


Trudy Instituta Matematiki i Mekhaniki UrO RAN


Estimates for Kolmogorov widths of the Nikol'skii — Besov — Amanov classes in the Lorentz space
G. A. Akishev
3
Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values
R. R. Akopian
14
On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique
A. F. Albu, V. I. Zubov
20
On almost everywhere convergence for lacunary sequences of multiple rectangular Fourier sums
N. Yu. Antonov
30
Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval
A. G. Babenko, M. V. Deikalova, S. G. Revesz
46
Estimates for mean-square norms of functions with lacunary Fourier series
A. G. Babenko, V. A. Yudin
54
A triangular finite element with new approximation properties
N. V. Baidakova
67
Bounds for Fourier widths of classes of periodic functions with a mixed modulus of smoothness
Sh. A. Balgimbaeva, T. I. Smirnov
78
A moving object and observers in $\mathbb R^2$ with piecewise smooth shading set
V. I. Berdyshev
95
A solution class of the Euler equation in a torus with solenoidal velocity field. II
V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh
102
On the divergence of trigonometric Fourier series in classes $\varphi(L)$ contained in $L$
M. R. Gabdullin
109
Bohman extremal problem for the Dunkl transform
D. V. Gorbachev, V. I. Ivanov
115
Exact solutions of an optimal stabilization problem for systems of differential equations with aftereffect
Yu. F. Dolgii
124
Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem
G. A. Dubosarskii
136
Coefficients of trigonometric polynomials under a one-sided constraint
D. O. Zykov
152
On the order of the uniform convergence of partial cubic sums of multiple trigonometric Fourier series on the function classes $H_{1,m}^{l}[\omega]$
N. A. Il'yasov
161
On a routing problem with constraints that include dependence on a task list
M. S. Kosheleva, A. A. Chentsov, A. G. Chentsov
178
On the application of the regularization method to the construction of a classical solution of Poisson's equation
È. M. Muhamadiev, G. E. Grishanina, A. A. Grishanin
196
Interpolation by functions from a Sobolev space with minimum $L_p$-norm of the Laplace operator
S. I. Novikov
212
Biorthogonal bases of multiwavelets
E. A. Pleshcheva
223
Two-scale relations for $B$-$\mathcal L$-splines with uniform knots
E. G. Pytkeev, V. T. Shevaldin
234
On the Szego — Taikov inequality for conjugate trigonometric polynomials
A. O. Serkov
244
Approximation of certain smoothness classes of periodic functions of several variables by polynomials with regard to the tensor Haar system
S. A. Stasyuk
251
On uniform Lebesgue constants of local exponential splines with equidistant knots
E. V. Strelkova, V. T. Shevaldin
261
Uniform approximation of curvature for smooth classes of plane curves
Yu. N. Subbotin
273
Addition to V. P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series”
S. A. Telyakovskii
277
Almost Lie nilpotent non-prime varieties of associative algebras
O. B. Finogenova
282
Jackson — Stechkin type inequalities with generalized moduli of continuity and widths of some classes of functions
M. Sh. Shabozov, K.Tukhliev
292
Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines
V. T. Shevaldin, O. Ya. Shevaldina
309
A Letter to the Editor
V. I. Berdyshev
316


© Steklov Math. Inst. of RAS, 2025