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Hyers-Ulam stability of trigonometric functional equations

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In this article we prove the Hyers--Ulam stability of trigonometric functional equations.

Abstract

In this article we prove the Hyers--Ulam stability of trigonometric functional equations.

참고문헌 (18)

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  8. S. Czerwik, "Stability of Functional Equations of Ulam-Hyers-Rassias Type" (2003), Hadronic Press, Inc
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  10. D. H. Hyers, "Stability of Functional Equations in Several Variables" (1998), Birkhauser
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  12. S.-M. Jung, "Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis" (2001), Hadronic Press, Inc
  13. K. W. Jun, "Stability problem for Jensen-type functional equations of cubic mappings, Acta Mathematica Sinica", English Series, 22(6), pp.1781~1788 (2006)
  14. C. G. Park, "Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algabras", Bull. Sci. Math, 132, pp.87~96 (2008)
  15. Th. M. Rassias, "On the stability of functional equations in Banach spaces", J. Math. Anal. Appl, 251, pp.264~284 (2000)
  16. Th. M. Rassias, "On the stability of linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  17. L. Sz´ekelyhidi, "The stability of sine and cosine functional equations", Proc. Amer. Math. Soc, 110, pp.109~115 (1990)
  18. S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience Publ

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