On a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations

Jaeyoung Chung and Jeongwook Chang

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

Let G be an Abelian group, let ℂ be the field of complex numbers, and let f , g : G → ℂ . We consider the generalized Hyers-Ulam stability for a class of trigonometric functional inequalities, | f ( x - y ) - f ( x ) g ( y ) + g ( x ) f ( y ) | ≤ ψ ( y ) ,   | g ( x - y ) - g ( x ) g ( y ) - f ( x ) f ( y ) | ≤ ψ ( y ) , where ψ : G → ℠is an arbitrary nonnegative function.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:610714

DOI: 10.1155/2012/610714

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