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On the Stability of the Cosine Type Functional Equation

김광휘
한국수학교육학회|2007.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제1호|pp. 7-14

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참고문헌

주제분류수학

초록

Abstract

The aim of this paper is to study the superstability problem of thecosine type functional equation f(x + y) + f(x + σy) = 2 g(x)g(y).

참고문헌 (14)

  1. "On the stability of cosine functional equation", 15, pp.1~14 (1998)
  2. "On some trigonometric functional inequalities", pp.3~15 (2002)
  3. "The stability of the cosine equation", pp.411~416 (1980)
  4. "The stability of the equation f", pp.242~246 (1979)
  5. "Approximately isometric and multiplicative transformations on contin-uous function rings" (1949)
  6. "The stability of the sine equation", pp.631~634 (1983)
  7. "d？Alembert？s and Wilson？s equations on Lie groups", 67, pp.12~25 (2004)
  8. "On the stability of the generalized cosine functional equations", 1, pp.49~58 (2001)
  9. "The stability of the d？Alembert and Jensen type functional equations" (2006), In press
  10. "On the Stability of generalized d？Alembert andJensen functional equations" (2006), In press
  11. "Stability of d？Alembert and Jensen type functional equations", 9, pp.593~604 (2004)
  12. "Jensen？s functional equation on groups III", 62, pp.143~159 (2001)
  13. "Functional equations on semigroups", 59, pp.255~261 (2000)
  14. "On Jensen？s functional equation on groups", 66, pp.100~118 (2003)

관련 논문AI추천

On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호Hyers-Ulam stability of trigonometric functional equations장정욱, 정재영대한수학회 · 대한수학회논문집2008 · 제23권 제4호On the Stability of Orthogonally Cubic Functional EquationsChoonkil Baak, Mohammad Sal Moslehian경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호On the Stability of Functional Equations in $n$-variables and its applicationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제2호The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation박규홍한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호

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