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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

THE MODIFIED HYERS-ULAM-RASSIAS STABILITY OF A MIXED TYPE FUNCTIONAL EQUATION

The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2007, v.14 no.1, pp.23-35
Park, Kyoo-Hong (DEPARTMENT OF MATHEMATICS EDUCATION, SEOWON UNIVERSITY)

Abstract

We investigate the modified Hyers-Ulam-Rassias stability for the following mixed type functional equation, i.e, cubic or quadratic type functional equation : 9f(x+y)-9f(x-y)+f(6y)=3f(x+3y)-3f(x-3y)+9f(2y).

keywords
stability, additive function, cubic function, quadratic function

한국수학교육학회지시리즈B:순수및응용수학