On the stability of some functional equations for generalized hyperbolic functions and for the generalized cosine equation
type: Item
instance of: scholarly article
title: On the stability of some functional equations for generalized hyperbolic functions and for the generalized cosine equation
zbMATH Open document ID: 0829.39010
DOI: 10.1007/BF03323049
author: Wolfgang Förg-Rob
author: Jens Schwaiger
published in: Results in Mathematics
publication date: 1995-08-15T00:00:00Z
review text: The authors prove some stability results (in the sense of Hyers-Ulam) concerning some systems of functional equations for generalized hyperbolic functions. Moreover they prove a generalization of a result of \textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411-416 (1980; Zbl 0448.39003)] on the superstability of the cosine functional equation. It has to be noted that the present result is proved without making use of the knowledge of the solutions of the generalized cosine functional equations.
reviewed by: Gian Luigi Forti
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 785171
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: systems of functional equations
zbMATH Keywords: generalized hyperbolic functions
zbMATH Keywords: superstability
zbMATH Keywords: cosine functional equation
MaRDI profile type: Publication
cites work: The Stability of the Cosine Equation
cites work: Hyers-Ulam stability of functional equations in several variables
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cites work: On generalized hyperbolic functions and their characterization by functional equations
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description: scientific article; zbMATH DE number 785171