Equipartition of a Segment

Sergey Avvakumov, Roman Karasev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)194-202
Number of pages9
JournalMathematics of Operations Research
Volume48
Issue number1
DOIs
StatePublished - Feb 2023
Externally publishedYes

Funding

FundersFunder number
Horizon 2020 Framework Programme716424
Seventh Framework Programme
European Commission
Russian Foundation for Basic Research19-01-00169

    Keywords

    • configuration space
    • fair partition

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