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On stability of the monomial functional equation in normed spaces over fields with valuation

✍ Scribed by Zoltán Kaiser

Book ID
108175249
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
139 KB
Volume
322
Category
Article
ISSN
0022-247X

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## Abstract We establish a stability result concerning the functional equation: $\sum\limits\_{i = 1}^m {f\left( {mx\_i + \sum\limits\_{j = 1,j \ne i}^m {x\_j } } \right) + f\left( {\sum\limits\_{i = 1}^m {x\_i } } \right) = 2f\left( {\sum\limits\_{i = 1}^m {mx\_i } } \right)} $ in a large class of