Boundedness of approximate trigonometric functions

DOI10.1016/j.aml.2008.06.013zbMath1168.39009OpenAlexW1963807432MaRDI QIDQ1021858

Young Whan Lee, Gwang Hui Kim

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.013

zbMATH Keywords

stabilitycosine functional equationfunctional inequalitysine functional equationtrigonometric functional equationd'Alembert functional equationsemisimple commutative Banach algebra

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (10)

On the stability of trigonometric functional equations in distributions and hyperfunctions ⋮ Stability of functional equations on restricted domains in a group and their asymptotic behaviors ⋮ Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors ⋮ Stability of Jensen-type functional equations on restricted domains in a group and their asymptotic behaviors ⋮ On a generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Stability of trigonometric functional equations in generalized functions ⋮ On the superstability of the Pexider type trigonometric functional equation ⋮ A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES ⋮ Stability of a logarithmic functional equation in distributions on a restricted domain ⋮ Unnamed Item

Cites Work

• The stability of d'Alembert and Jensen type functional equations
• The Stability of the Sine Equation
• The Stability of the Cosine Equation
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
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• Unnamed Item

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