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ISSN : 1226-0657

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Vol.26 No.1

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GENERALIZED HYERS-ULAM STABILITY OF A QUADRATIC-CUBIC FUNCTIONAL EQUATION IN MODULAR SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.1, pp.49-58
https://doi.org/10.7468/jksmeb.2019.26.1.49
Lee, Yang-Hi
Lee,, Y. (2019). GENERALIZED HYERS-ULAM STABILITY OF A QUADRATIC-CUBIC FUNCTIONAL EQUATION IN MODULAR SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(1), 49-58, https://doi.org/10.7468/jksmeb.2019.26.1.49

Abstract

In this paper, I prove the stability problem for a quadratic-cubic functional equation <TEX>$$f(x+ky)-k^2f(x+y)-k^2f(x-y)+f(x-ky)+f(kx)-{\frac{k^3-3k^2+4}{2}}f(x)+{\frac{k^3-k^2}{2}}f(-x)=0$$</TEX> in modular spaces by applying the direct method.

keywords
generalized Hyers-Ulam stability, quadratic-cubic functional equation, direct method, modular space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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