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zbMATH Open
Article . 1996
Data sources: zbMATH Open
Publicationes Mathematicae Debrecen
Article . 1996 . Peer-reviewed
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The generalized Hyers--Ulam stability of a class of functional equations

The generalized Hyers-Ulam stability of a class of functional equations
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1996Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 48, pages 217-235 (issn: 0033-3883, Copyright policy )
Authors: Grabiec, Artur;

doi: 10.5486/pmd.1996.1559

The generalized Hyers--Ulam stability of a class of functional equations

Abstract

Summary: We generalize some results concerning Hyers-Ulam stability of functional equations. Our intention is to include a possibly most general class of functional equations, whose proof of stability runs by classical Hyers' method. The idea of this generalization comes from G. L. Forti and Z. Kominek.

Keywords

Hyers' method, functional equations, Stability, separation, extension, and related topics for functional equations, Hyers-Ulam stability

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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!
53
Top 10%
Top 10%
Average
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