Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

SOLUTION AND STABILITY OF A GENERAL POPOVICIU FUNCTIONAL EQUATION

  • LEE, EUN HWI (School of Information Technology and Engineering Jeonju University) ;
  • LEE, SANG WON (School of Information Technology and Engineering Jeonju University)
  • Received : 2004.09.13
  • Accepted : 2005.02.07
  • Published : 2005.03.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we solve a generalized Popoviciu functional equation and investigate the stability of this equation.

Keywords

References

  1. Proc. Natl. Acad. Sci. U.S.A. v.27 On the stability of the linear functional equation Hyers, D.H.
  2. Stability of Functional Equations in Several Variables Hyers, D.H.;Isac, G.;Rassisas, Th. M.
  3. Aequ. Math. v.44 Approximate homomorphisms Hyers, D.H.;Rassisas, M.
  4. Aequ. Math. v.60 Stability of generalized gamma and beta functional equations Jun, K.W.;Kim, G.H.;Lee, Y.W.
  5. Dynam. Systems Appl. v.6 Hyers-Ulam-Rassias stability of functional equations Jung, S.M.
  6. Proc. Amer. Math. Soc. v.126 Hyers-Ulam-Rassias stability of Jensen's equation and its application Jung, S.M.
  7. J. Math. Anal. Appl. v.222 On the Hyers-Ulam stability of the functional equations that have the quadratic property Jung, S.M.
  8. J. Math. Anal. Appl. v.232 On the Hyers-Ulam-Rassias stability of a quadratic functional equation Jung, S.M.
  9. Korean J. Comput and Appl. Math. v.9 Stability of a Jensen type functional Equations with three variables Lee, S.H.
  10. J. Appl Math and Computing v.10 Stability of Jensen functional equation with three variables Lee, E.H.;Lee, Y.W.;Park, S.H.
  11. J. Math. Anal. Appl. v.238 A generalization of the Hyers-Ulam-Rassias stability of Jensen's Equation Lee, Y.H.;Jun, K.W.
  12. Bull. Institute of Math. Academia Sinica. v.28 The stability of derivatins on Banach algebras Lee, Y.W.
  13. J. Math. Anal. Appl. v.270 On the stability of a quadratic Jensen type functional Equation Lee, Y.W.
  14. Korean J. Comput and Appl. Math. v.9 On the Hyers-Ulam-Rassias stability of a quadratic functional equation Lee, Y.W.;Park, S.H.
  15. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Rassias, Th. M.
  16. Basel ISNM v.123 On a problem of S. M. Ulam and the asymptotic stability of the Cauchy functional equation with applications;General Inequalities 7, MFO, Oberwolfach Rassias, Th. M.
  17. Sutdia, Univ. Babes-Bolyai v.XLIII no.3 On the stability of the quadratic functional equation and its applications Rassias, Th. M.
  18. J. Math. Anal. Appl. v.246 The problem of S. M. Ulam for approximately multiplicative mappings Rassias, Th. M.
  19. J. Math. Anal. Appl. v.251 On the stability of functional equations in Banach spaces Rassias, Th. M.
  20. Acta Applican. Math. v.62 On the stability of functional equations and a problem of Ulam Rassias, Th. M.
  21. Proc. Amer. Math. Soc. v.114 On the behavior of mapping that do not satisfy Hyers-Ulam stability Rassias, Th. M.;Semrl, P.
  22. J. Math. Anal. Appl. v.250 Hyers-Ulam-Rassias stability of a Jensen type functional Equation Trif, T.
  23. Proc. Problems in Modern Mathematics Ulam, S.M.
  24. J. Math. Anal. Appal. v.204 On the Hyers-Ulam-Rassias stability of approximately additive mappings Jung, S.M.
  25. Aequationes Math. v.36 On stability of the Cauchy equation on semigroups Gajda, Z.
  26. J. Math. Anal. Appl. v.184 A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings Gavruta, D.