Equipartition of a Segment

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  • Sergey Avvakumov
  • Roman Karasev

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.

OriginalsprogEngelsk
TidsskriftMathematics of Operations Research
Vol/bind48
Udgave nummer1
Sider (fra-til)194-202
Antal sider9
ISSN0364-765X
DOI
StatusUdgivet - 2023

Bibliografisk note

Funding Information:
Funding: S. Avvakumov’s research was supported by the European Research Council under the Euro-pean Union’s Seventh Framework Programme [ERC Grant StG 716424–CASe]. R. Karasev’s research was partially supported by the Russian Foundation for Basic Research [Grant 19-01-00169].

Funding Information:
S. Avvakumov’s research was supported by the European Research Council under the European Union’s Seventh Framework Programme [ERC Grant StG 716424–CASe]. R. Karasev’s research was partially supported by the Russian Foundation for Basic Research [Grant 19-01-00169].

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Copyright: © 2022 INFORMS.

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