Title
On an n-dimensional mixed type additive and quadratic functional equation
Abstract
In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation@?k"2,...,k"n=01fx"1+@?i=2n(-1)^k^"^ix"i-2^n^-^1f(x"1)-2^n^-^2@?i=2nf(x"i)+f(-x"i)=0for integer values of n such that n=2, where f is a function from a normed space X to a Banach space Y. The solutions of the equation are called additive-quadratic mappings.
Year
DOI
Venue
2014
10.1016/j.amc.2013.11.091
Applied Mathematics and Computation
Keywords
Field
DocType
functional equation,additive-quadratic mapping,quadratic functional equation,banach space,integer value,generalized hyers-ulam stability,n-dimensional mixed type additive,normed space x
Integer,Quadratic functional,Mathematical optimization,Normed vector space,Mathematical analysis,Banach space,Mathematics
Journal
Volume
ISSN
Citations 
228,
0096-3003
1
PageRank 
References 
Authors
0.39
0
3
Name
Order
Citations
PageRank
Yang-Hi Lee113.09
Soon-Mo Jung23963.26
Michael Th. Rassias3115.24