On the stability of an AQCQ-functional equation in random normed spaces

  • Park, Choonkil
  • Jang, Sun Young
  • Lee, Jung Rye
  • Shin, Dong Yun
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초록

In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in random normed spaces.

키워드

random normed spaceadditive-quadratic-cubic-quartic functional equationHyers-Ulam stabilityAPPROXIMATELY LINEAR MAPPINGSULAM-RASSIAS STABILITYMIXED-TYPE
제목
On the stability of an AQCQ-functional equation in random normed spaces
저자
Park, ChoonkilJang, Sun YoungLee, Jung RyeShin, Dong Yun
DOI
10.1186/1029-242X-2011-34
발행일
2011-08
유형
Article
저널명
Journal of Inequalities and Applications
페이지
1 ~ 12

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