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Mathematical Inequalities & Applications
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Mathematical Inequalities & Applications
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On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 English Publisher:Element d.o.o.Journal:Mathematical Inequalities & Applications (issn: 1331-4343, Copyright policy )
Authors: Jun, Kil-Woung; Lee, Yang-Hi;

doi: 10.7153/mia-04-08

On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality

Abstract

The authors examine the Hyers-Ulam-Rassias stability [see \textit{D. H. Hyers, G. Isac} and \textit{Th. M. Rassias}, Stability of Functional Equations in Several Variables, Birkhäuser, Boston (1998; Zbl 0907.39025); and \textit{Soon-Mo Jung}, Hyers-Ulam-Rassias stability of functional equations in Mathematical Analysis, Hadronic Press, Palm Harbor (2001; Zbl 0980.39024)] of the Pexiderized version of the quadratic functional equation \(f(x+y) + g(x-y) = h(x) + k(y)\) in the spirit of Hyers, Ulam, Rassias and Gǎvruta.

Keywords

Stability, separation, extension, and related topics for functional equations, Hyers-Ulam-Rassias stability, quadratic functional equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Average
gold