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
1. Verfasser: Lee, Young Whan
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Sprache:eng
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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.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2013-14