Equipartition of a Segment

• 成果类型: Article
• 署名作者: Avvakumov, Sergey; Karasev, Roman
• 署名单位: University of Copenhagen; Kharkevich Institute for Information Transmission Problems of the RAS; Russian Academy of Sciences; Moscow Institute of Physics & Technology
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2022.1260
• 发表日期: 2023
• 页码: 194-202
• 关键词: convex equipartitions

摘要

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.