文章基本信息

标题：Stability of a Jensen type quadratic-additive functional equation under the approximately conditions
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作者：Young-Su Lee ; Yujin Jeong ; Hyemin Ha 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：61
DOI：10.1186/s13662-015-0392-z
语种：English
出版社：Hindawi Publishing Corporation
摘要：We prove the Hyers-Ulam-Rassias stability of the Jensen type quadratic and additive functional equation 9 f ( x + y + z 3 ) + 4 [ f ( x − y 2 ) + f ( y − z 2 ) + f ( z − x 2 ) ] = 3 [ f ( x ) + f ( y ) + f ( z ) ] $9f ( rac{x+y+z}" ) + 4 [ f ( rac{x-y}, ) + f ( rac{y-z}, ) + f ( rac{z-x}, ) ] = 3 [ f(x)+f(y)+f(z) ]$ under the approximately conditions such as even, odd, quadratic, and additive in Banach spaces.
关键词：quadratic functional equation ; additive functional equation ; mixed type functional equation ; stability