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On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation
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In this paper, we obtain the Hyers-Ulam-Rassias stability of a bi-Jensen functional equation
Abstract
In this paper, we obtain the Hyers-Ulam-Rassias stability of a bi-Jensen functional equation
참고문헌 (13)
- 배재형, "On the solution of a bi-Jensen functional equation and its stability", 대한수학회지, 43(3), pp.499~507 (2006), 대한수학회
- P. Găvruta, "generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. and Appl, 184, pp.431~436 (1994)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
- K. W. Jun, "On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation", Abstract Appl. Anal, ID 35151, pp.1~15 (2007)
- K. W. Jun, "On the Rassias stability a bi-Jensen functional equation", preprint
- S. M. Jung, "Hyers-Ulam stability of linear differential equations of first order", Jour Appl. Math. Lett, 17, pp.1135~1140 (2004)
- G. H. Kim, "On the stability of functional equations with square-symmetric operation", Jour Math. Inequal. Appl, 4, pp.257~266 (2001)
- H. M. Kim, "On the stability problem for a mixed type of quartic and quadratic functional equation", J. Math. Anal. Appl, 324, pp.358~372 (2006)
- Y. H. Lee, "On the stability of approximately additive mappings", Jour Proc. Amer. Math. Soc, 128, pp.1361~1369 (2000)
- C. G. Park, "Linear functional equations in Banach modules over a C-algebra", Acta Appl. Math, 77, pp.125~161 (2003)
- W. G. Park, "On a Cauchy-Jensen functional equation and its stability", J. Math. Anal. Appl, 323, pp.634~643 (2006)
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
- S. M. Ulam, "A Collection of Mathematical Problems", Interscience New York, pp.63~ (1968)
관련 논문AI추천
ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION오정하, 이양희, 전길웅한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION고훈, 김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호On the stability of a Cauchy-Jensen functional equation이양희, 전길웅, 조영선대한수학회 · 대한수학회논문집2008 · 제23권 제3호On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation김학만, 전길웅, Don O Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II이양희, 이주리, 전길웅한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호On the solution of a bi-Jensen functional equation and its stability박원길, 배재형대한수학회 · 대한수학회보2006 · 제43권 제3호
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