Contents

Proceedings of the Steklov Institute of Mathematics. Supplement.


Vol. 319, No. 1, 2022


Yurii Nikolaevich Subbotin (A Tribute to His Memory)

p. S1  abstract

Sergei Aleksandrovich Telyakovskii (A Tribute to His Memory)

p. S7  abstract

Approximation of the Normal to the Discontinuity Lines of a Noisy Function

A. L. Ageev, and T. V. Antonova p. S12  abstract

On One Generalized Translation and the Corresponding Inequality of Different Metrics

V. V. Arestov, and M. V. Deikalova p. S30  abstract

Solution of a Linear–Quadratic Problem on a Set of Piecewise Constant Controls with Parameterization of the Functional

A. V. Arguchintsev, and V. A. Srochko p. S43  abstract

Projection Method for Infinite-Horizon Economic Growth Problems

B. M. Arystanbekov, and N. B. Melnikov p. S54  abstract

Problems of Boundary Control and Optimal Control of String Vibrations with Multipoint Intermediate Conditions on the State Functions

V. R. Barseghyan p. S66  abstract

The \(L_{p}\)subscript𝐿𝑝-Boundedness of Some Classes of Pseudo-Differential Operators on the \(m\)𝑚-Dimensional Torus

D. B. Bazarkhanov p. S80  abstract

Construction of Discontinuous Piecewise Quadratic Value Functions in a Target Control Problem

I. A. Chistyakov, and P. A. Tochilin p. S98  abstract

Multiply Closed Control Strategy in a Linear Terminal Problem of Optimal Guaranteed Control

N. M. Dmitruk p. S112  abstract

On Almost Universal Double Fourier Series

M. G. Grigoryan p. S129  abstract

Constant-Factor Approximation Algorithms for a Series of Combinatorial Routing Problems Based on the Reduction to the Asymmetric Traveling Salesman Problem

M. Yu. Khachay, E. D. Neznakhina, and K. V. Ryzhenko p. S140  abstract

On the Pringsheim Convergence of a Subsequence of Partial Sums of a Fourier Trigonometric Series

S. V. Konyagin p. S156  abstract

Assimilating Data on the Location of the Free Surface of a Fluid Flow to Determine Its Viscosity

A. I. Korotkii, I. A. Tsepelev, and A. T. Ismail-Zadeh p. S162  abstract

On a Linear Group Pursuit Problem with Fractional Derivatives

A. I. Machtakova, and N. N. Petrov p. S175  abstract

A Complete Description of the Relative Widths of Sobolev Classes in the Uniform Metric

Yu. V. Malykhin p. S188  abstract

On an Interpolation Problem with the Smallest \(L_{2}\)subscript𝐿2-Norm of the Laplace Operator

S. I. Novikov p. S193  abstract

Uniform with Respect to the Parameter \(a\in(0,1)\)𝑎01 Two-Sided Estimates of the Sums of Sine and Cosine Series with Coefficients \(1/k^{a}\)1superscript𝑘𝑎 by the First Terms of Their Asymptotics

A. Yu. Popov, and T. V. Rodionov p. S204  abstract

Transfinite Version of the Program Iteration Method in a Game Problem of Approach for an Abstract Dynamical System

D. A. Serkov p. S218  abstract

On Yu. N. Subbotin’s Circle of Ideas in the Problem of Local Extremal Interpolation on the Semiaxis

V. T. Shevaldin p. S229  abstract

The Method of Quasi-Solutions Based on Barrier Functions in the Analysis of Improper Convex Programs

V. D. Skarin p. S242  abstract

Volterra Functional Equations in the Theory of Optimization of Distributed Systems. On the Problem of Singularity of Controlled Initial–Boundary Value Problems

V. I. Sumin p. S257  abstract

Conditions under Which the Sums of Absolute Values of Blocks in the Fourier–Walsh Series for Functions of Bounded Variation Belong to Spaces \(L^{p}\)superscript𝐿𝑝

S. A. Telyakovskii, and N. N. Kholshchevnikova p. S271  abstract

On the Weiss Conjecture. I

V. I. Trofimov p. S281  abstract

Shape Preserving Conditions for Integro Quadratic Spline Interpolation in the Mean

Yu. S. Volkov p. S291  abstract

On the Stability of Linear Time-Varying Differential Equations

V. A. Zaitsev, and I. G. Kim p. S298  abstract