한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제7권1호
  • /
  • Pages.1-6
  • /
  • 2000
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

A RADO TYPE EXTENSION OF HOLDERS INEQUALITY

  • Kwon, Ern-Gun (DEPARTMENT OF MATHEMATICS EDUCATION, ANDONG NATIONAL UNIVERSITY) ;
  • Yoon, Kang-Hee (DEPARTMENT OF MATHEMATICS EDUCATION, ANDONG NATIONAL UNIVERSITY)
  • 발행 : 2000.05.01
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초록

An extension of $H\"{o}lder's$ inequality whose discrete form is described as follows is given. Let $\nu$ be a positive measure on a space Y, $\nu(Y)\;\neq\;0$, and let $f_{j}$(j = 1,2,...,n) be positive ν-integrable functions on Y. If ${\alpha}_j$ > 0(j = 1,2,...,n) and ${\beta}_j$(j = 1,2,...,k < n) are related to be (equation omitted) then (equation omitted).

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