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ON THE STABILITY OF PEXIDER TYPE TRIGONOMETRIC FUNCTIONAL EQUATIONS

김광휘
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 369-378

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참고문헌

키워드

stabilitysuperstabilitysine functional equationd'Alembert equationtrigonometric functional equation.
주제분류수학

초록

The aim of this paper is to study the stability problem for the pexider type trigonometric functional equation f(x + y) ¡ f(x¡y) = 2g(x)h(y), which is related to the d'Alembert, the Wilson, the sine, and the mixed trigonometric functional equations.

Abstract

The aim of this paper is to study the stability problem for the pexider type trigonometric functional equation f(x + y) ¡ f(x¡y) = 2g(x)h(y), which is related to the d'Alembert, the Wilson, the sine, and the mixed trigonometric functional equations.

참고문헌 (12)

  1. R. Badora, "On the stability of cosine functional equation, Rocznik Naukowo-Dydak", Prace Mat, 15, pp.1~14 (1998)
  2. R. Badora, "On some trigonometric functional inequalities", Functional Equations- Results and Advances, pp.3~15 (2002)
  3. J. A. Baker, "The stability of the cosine equation", Proc. Amer. Math. Soc., 80, pp.411~416 (1980)
  4. J. A. Baker, "The stability of the equation f(x+y)=f(x)f(y)", Proc. Amer. Math. Soc, 74, pp.242~246 (1979)
  5. D. G. Bourgin, "Approximately isometric and multiplicative transformations on continuous function rings", Duke Math. J, 16, pp.385~397 (1949)
  6. P.W. Cholewa, "The stability of the sine equation", Proc. Amer. Math. Soc, 88, pp.631~634 (1983)
  7. P. G·avruta, "On the stability of some functional equations, In Stability of mappings of Hyers-Ulam type", pp.93~98 (1994), Hadronic Press
  8. Pl. Kannappan, "On the stability of the generalized cosine func- tional equations", Ann. Acad. Pedagog. Crac. Stud. Math, 1, pp.49~58 (2001)
  9. G. H. Kim, "The Stability of the d'Alembert and Jensen type functional equa-tions", Jour. Math. Anal & Appl, 325, pp.237~248 (2007)
  10. G. H. Kim, "A Stability of the generalized sine functional equations", Jour. Math. Anal & Appl, 331, pp.886~894 (2007)
  11. G. H. Kim, "On the Stability of the generalized sine functional equations", Acta Sinica
  12. G. H. Kim, "Boundedness of approximate trigonometric functions", Appl. Math. Letters

관련 논문AI추천

ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II김광휘한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제4호Hyers-Ulam stability of trigonometric functional equations장정욱, 정재영대한수학회 · 대한수학회논문집2008 · 제23권 제4호STABILITY OF TRIGONOMETRIC TYPE FUNCTIONAL EQUATIONS IN RESTRICTED DOMAINS정재영한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)정용수한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS이영환한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Notes on the superstability of d'Alembert type functional equationsBing Xu, Peng Cao대한수학회 · 대한수학회보2009 · 제46권 제2호

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