Browse > Article
http://dx.doi.org/10.14403/jcms.2013.26.4.887

STABILITY OF A GENERALIZED POLYNOMIAL FUNCTIONAL EQUATION OF DEGREE 2 IN NON-ARCHIMEDEAN NORMED SPACES  

Lee, Chang-Ju (Department of Mathematics Education Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 887-900 More about this Journal
Abstract
In this paper, we investigate the stability for the functional equation f(3x+y)-3f(2x+y)+3f(x+y)-f(y)=0 in the sense of M. S. Moslehian and Th. M. Rassias.
Keywords
generalized polynomial functional equation of degree 2; non-Archimedean normed space; stability of functional equation;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66.   DOI
2 I. S. Chang, E. H. Lee, and H. M. Kim, On Hyers-Ulam-Rassias stability of a quadratic functional equation, Math. Inequal. Appl. 6 (2003), 87-95.
3 P. G¸avruta, A generalization of the Hyers-Ulam-Rassias stability of approxi-mately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436.   DOI   ScienceOn
4 D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A. 27 (1941), 222-224.   DOI   ScienceOn
5 S. S. Jin and Y. H. Lee, A fixed point approach to the stability of the generalized polynomial functional equation of degree 2, Commun. Korean Math. Soc. 28 (2013), 269-283.   과학기술학회마을   DOI   ScienceOn
6 K. W. Jun and Y. H. Lee, A Generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations II, Kyungpook Math. J. 47 (2007), 91-103.   과학기술학회마을
7 G. H. Kim, On the stability of functional equations with square-symmetric op-eration, Math. Inequal. Appl. 4 (2001), 257-266.
8 H. M. Kim, On the stability problem for a mixed type of quartic and quadratic functional equation, J. Math. Anal. Appl. 324 (2006), 358-372.   DOI   ScienceOn
9 Y. H. Lee, On the Hyers-Ulam-Rassias stability of the generalized polynomial function of degree 2, J. Chungcheong Math. Soc. 22 (2009), 201-209.
10 Y. H. Lee, On the stability of the monomial functional equation, Bull. Korean Math. Soc. 45 (2008), 397-403.   과학기술학회마을   DOI   ScienceOn
11 Y. H. Lee and K. W. Jun, A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation, J. Math. Anal. Appl. 238 (1999), 305-315.   DOI   ScienceOn
12 Y. H. Lee and K. W. Jun, A generalization of the Hyers-Ulam-Rassias stability of Pexider equation, J. Math. Anal. Appl. 246 (2000), 627-638.   DOI   ScienceOn
13 Y. H. Lee and K. W. Jun, On the stability of approximately additive mappings, Proc. Amer. Math. Soc. 128 (2000), 1361-1369.   DOI   ScienceOn
14 M. S. Moslehian and Th. M. Rassias , Stability of functional equations in non-Archimedean spaces, Appl. Anal. Discrete Math. 1 (2007), 325-334.   DOI   ScienceOn
15 S. M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.
16 Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.   DOI   ScienceOn