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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.
Received: 06.06.2022 Revised: 06.06.2022 Accepted: 28.09.2022
Citation:
S. V. Astashkin, D. N. Galich, “Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10, 79–85; Russian Math. (Iz. VUZ), 66:10 (2022), 67–72
Linking options:
https://www.mathnet.ru/eng/ivm9822 https://www.mathnet.ru/eng/ivm/y2022/i10/p79
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Statistics & downloads: |
Abstract page: | 102 | Full-text PDF : | 20 | References: | 22 | First page: | 5 |
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