Browse > Article
http://dx.doi.org/10.4134/CKMS.2008.23.4.567

HYERS-ULAM STABILITY OF TRIGONOMETRIC FUNCTIONAL EQUATIONS  

Chang, Jeong-Wook (DEPARTMENT OF MATHEMATICS KUNSAN NATIONAL UNIVERSITY)
Chung, Jae-Young (DEPARTMENT OF MATHEMATICS KUNSAN NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.4, 2008 , pp. 567-575 More about this Journal
Abstract
In this article we prove the Hyers.Ulam stability of trigonometric functional equations.
Keywords
Hyers-Ulam stability; trigonometric functional equation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Aczel, Lectures on Functional Equations in Several Variables, Academic Press, New York-London, 1966
2 J. Aczel and J. Dhombres, Functional Equations in Several Variables, Cambridge University Press, New York-Sydney, 1989
3 J. A. Baker, On a functional equation of Aczel and Chung, Aequationes Math. 46 (1993), 99-111   DOI
4 J. A. Baker, The stability of cosine functional equation, Proc. Amer. Math. Soc. 80 (1980), 411-416   DOI
5 J. Chung, A distributional version of functional equations and their stabilities, Nonlinear Analysis 62 (2005), 1037-1051   DOI   ScienceOn
6 D. H. Hyers and Th. M. Rassias, Approximate homomorphisms, Aequationes Math. 44 (1992), 125-153   DOI
7 J. Chung, Stability of functional equations in the space distributions and hyperfunctions, J. Math. Anal. Appl. 286 (2003), 177-186   DOI   ScienceOn
8 J. Chung, Distributional method for d'Alembert equation, Arch. Math. 85 (2005), 156-160.   DOI
9 S. Czerwik, Stability of Functional Equations of Ulam-Hyers-Rassias Type, Hadronic Press, Inc., Palm Harbor, Florida, 2003
10 D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, 1998
11 D. H. Hyers, On the stability of the linear functional equations, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222-224   DOI   ScienceOn
12 K. W. Jun and H. M. Kim, Stability problem for Jensen-type functional equations of cubic mappings, Acta Mathematica Sinica, English Series 22 (2006), no. 6, 1781-1788   DOI
13 C. G. Park, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algabras, Bull. Sci. Math. 132 (2008), 87-96   DOI   ScienceOn
14 Th. M. Rassias, On the stability of functional equations in Banach spaces, J. Math. Anal. Appl. 251 (2000), 264-284   DOI   ScienceOn
15 Th. M. Rassias, On the stability of linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300   DOI
16 L. Szekelyhidi, The stability of sine and cosine functional equations, Proc. Amer. Math. Soc. 110 (1990), 109-115   DOI   ScienceOn
17 S. M. Ulam, A Collection of Mathematical Problems, Interscience Publ., New York, 1960
18 S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, Inc., Palm Harbor, Florida, 2001