Approximate pexiderized gamma-beta type functions
We show that every unbounded approximate pexiderized gamma-beta type function has a gamma-beta type. That is, we obtain the superstability of the pexiderized gamma-beta type functional equation β ( x , y ) f ( x + y ) = g ( x ) h ( y ) and also investigate the superstability as the following form: |...
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Veröffentlicht in: | Journal of inequalities and applications 2013-12, Vol.2013 (1), p.1-11, Article 14 |
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1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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Zusammenfassung: | We show that every unbounded approximate pexiderized gamma-beta type function has a gamma-beta type. That is, we obtain the superstability of the pexiderized gamma-beta type functional equation
β
(
x
,
y
)
f
(
x
+
y
)
=
g
(
x
)
h
(
y
)
and also investigate the superstability as the following form:
|
β
(
x
,
y
)
f
(
x
+
y
)
g
(
x
)
h
(
y
)
−
1
|
≤
φ
(
x
,
y
)
.
MSC:
39B72, 38B22, 39B82. |
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ISSN: | 1029-242X 1025-5834 1029-242X |
DOI: | 10.1186/1029-242X-2013-14 |