Stability of Bi-Additive Mappings and Bi-Jensen Mappings
Keyword(s):
Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables. In this paper, we proved the Hyers-Ulam stability of the bi-additive functional equation f(x+y,z+w)=f(x,z)+f(y,w) and the bi-Jensen functional equation 4fx+y2,z+w2=f(x,z)+f(x,w)+f(y,z)+f(y,w).
2012 ◽
Vol 2012
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pp. 1-12
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Keyword(s):
2003 ◽
Vol 2003
(1)
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pp. 15-26
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2015 ◽
Vol 90
(3)
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pp. 597-606
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Keyword(s):
2012 ◽
Vol 25
(2)
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pp. 201-215
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