Open Access
Translator Disclaimer
2012 On a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations
Jaeyoung Chung, Jeongwook Chang
J. Appl. Math. 2012: 1-14 (2012). DOI: 10.1155/2012/610714

Abstract

Let G be an Abelian group, let be the field of complex numbers, and let f , g : G . 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.

Citation

Download Citation

Jaeyoung Chung. Jeongwook Chang. "On a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations." J. Appl. Math. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/610714

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.39021
MathSciNet: MR2898081
Digital Object Identifier: 10.1155/2012/610714

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.2012 • 2012
Back to Top