Stability of generalized additive Cauchy equations
2000 ◽
Vol 24
(11)
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pp. 721-727
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Keyword(s):
A familiar functional equationf(ax+b)=cf(x)will be solved in the class of functionsf:ℝ→ℝ. Applying this result we will investigate the Hyers-Ulam-Rassias stability problem of the generalized additive Cauchy equationf(a1x1+⋯+amxm+x0)=∑i=1mbif(ai1x1+⋯+aimxm)in connection with the question of Rassias and Tabor.
2012 ◽
Vol 2012
(1)
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pp. 111
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2008 ◽
Vol 339
(1)
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pp. 372-383
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Keyword(s):
Keyword(s):
2003 ◽
Vol 40
(2)
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pp. 253-267
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2004 ◽
Vol 41
(3)
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pp. 501-511
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