Contents

Vestnik St. Petersburg University, Mathematics


Vol. 53, No. 1, 2020


Mathematics

Extremal Polynomials Connected with Zolotarev Polynomials

I. V. Agafonova and V. N. Malozemov p. 1  abstract

A Sharp Jackson–Chernykh Type Inequality for Spline Approximations on the Line

O. L. Vinogradov p. 10  abstract

Power Series of One Variable with Condition of Logarithmical Convexity

A. V. Zheleznyak p. 20  abstract

Decomposition of Additive Random Fields

M. Zani and A. A. Khartov p. 29  abstract

On the Aizerman Problem: Coefficient Conditions for the Existence of a Four-Period Cycle in a Second-Order Discrete-Time System

T. E. Zvyagintseva p. 37  abstract

On a Generalization of Self-Injective Rings

I. M. Zilberbord and S. V. Sotnikov p. 45  abstract

On the Second Record Derivative of a Sequence of Exponential Random Variables

V. B. Nevzorov and A. V. Stepanov p. 52  abstract

On the Average Perimeter of the Inscribed Random Polygon

Ya.Yu. Nikitin and T. A. Polevaya p. 58  abstract

On a Nesbitt–Carlitz Determinant

K. I. Pimenov p. 64  abstract

Generalized Semicommutative Rings

Debraj Roy and Tikaram Subedi p. 68  abstract


Mechanics

To the Problem of Modeling Gas Flows Behind the Strong Shock Wave Front Using an Effective Adiabatic Index

V. I. Bogatko and E. A. Potekhina p. 77  abstract

Application of a Special Form of Differential Equations to Study Movements of a Loaded Stewart Platform

S. A. Zegzhda, V. I. Petrova and M. P. Yushkov p. 82  abstract

Investigation of Large Deformations of Composite Plane with Interface Crack Loaded by Uniform Pressure

V. M. Mal’kov and Yu. V. Mal’kova p. 91  abstract

Motion Control of a Loaded Gantry Crane by Prescribing Its Acceleration

T. S. Shugailo p. 100  abstract


Astronomy

On a Quotient Space of Keplerian Orbits

K. V. Kholshevnikov, A. S. Shchepalova and M. S. Jazmati p. 108  abstract