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Estimating the Measure of k-Fold Intersections of k-Fold Stretched Intervals

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Abstract

We consider the problem of intervals stated by I.Ya. Novikov in 1992 and associated with the strengthening the well-known theorem of J. Marcinkiewicz on the structure of closed sets on the real line. A positive solution of this problem in some specific cases is obtained.

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REFERENCES

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Funding

This study was carried out as a part of implementing the development program of the Scientific and Educational Mathematical Center (the Volga Federal District), arrangement no. 075-02-2022-878.

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Authors and Affiliations

  1. Samara National Research University, 443086, Samara, Russia

    S. V. Astashkin & D. N. Galich

Authors
  1. S. V. Astashkin
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  2. D. N. Galich
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Correspondence to S. V. Astashkin or D. N. Galich.

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The authors declare that they have no conflicts of interest.

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Translated by L. Kartvelishvili

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Astashkin, S.V., Galich, D.N. Estimating the Measure of k-Fold Intersections of k-Fold Stretched Intervals. Russ Math. 66, 67–72 (2022). https://doi.org/10.3103/S1066369X22100024

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  • DOI: https://doi.org/10.3103/S1066369X22100024

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