Diameter of sets and measure of sumsets

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For bounded sets A, B of reals we show that {Mathematical expression} where a=μ(A), b=μ(B) and D is the diameter of B. For large values of a this yields μ(A+B)≥a+D.

Original languageEnglish
Pages (from-to)323-328
Number of pages6
JournalMonatshefte für Mathematik
Volume112
Issue number4
DOIs
Publication statusPublished - Dec 1991

ASJC Scopus subject areas

  • Mathematics(all)

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