Abstract | ||
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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 |
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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 Lee | 1 | 1 | 3.09 |
Soon-Mo Jung | 2 | 39 | 63.26 |
Michael Th. Rassias | 3 | 11 | 5.24 |