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Equipartition of a Segment

Author

Listed:
  • Sergey Avvakumov

    (Department of Mathematical Sciences, University of Copenhagen, Copenhagen 2100, Denmark)

  • Roman Karasev

    (Institute for Information Transmission Problems RAS, Moscow 127994, Russia; Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia)

Abstract

We prove that, for any positive integer m , a segment may be partitioned into m possibly degenerate or empty segments with equal values of a continuous function f evaluated on segments, assuming that f may take positive and negative values, but its value on degenerate or empty segments is zero.

Suggested Citation

  • Sergey Avvakumov & Roman Karasev, 2023. "Equipartition of a Segment," Mathematics of Operations Research, INFORMS, vol. 48(1), pages 194-202, February.
    • Handle: RePEc:inm:ormoor:v:48:y:2023:i:1:p:194-202
    DOI: 10.1287/moor.2022.1260
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