S. V. Astashkin, D. N. Galich, “Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, Number 10,Pages 79

Brief communications

Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals

S. V. Astashkin, D. N. Galich

Samara National Research University, 34 Moskovskoye hwy, Samara, 443086 Russia

Abstract: The problem of intervals, posed by I.Ya. Novikov in 1992 and connected with the strengthening of the well-known theorem of J. Marcinkiewicz on the structure of closed sets on the real line, is considered. A positive solution in some specific cases is obtained.

Keywords: integral of Marcinkiewicz, problem of intervals.

UDC: 519.999

Received: 06.06.2022
Revised: 06.06.2022
Accepted: 28.09.2022

DOI: 10.26907/0021-3446-2022-10-79-85