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

Lee, Yang-Hi; Lee, Yang-Hi

doi:10.7468/jksmeb.2019.26.1.49

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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. , 26(1), 49-58, https://doi.org/10.7468/jksmeb.2019.26.1.49

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Abstract

In this paper, I prove the stability problem for a quadratic-cubic functional equation <TEX>

f (x + k y) - k^{2} f (x + y) - k^{2} f (x - y) + f (x - k y) + f (k x) - \frac{k^{3} - 3 k^{2} + 4}{2} f (x) + \frac{k^{3} - k^{2}}{2} f (- x) = 0

$f(x+ky)-k^2f(x+y)-k^2f(x-y)+f(x-ky)+f(kx)-{\frac{k^3-3k^2+4}{2}}f(x)+{\frac{k^3-k^2}{2}}f(-x)=0$ </TEX> in modular spaces by applying the direct method.

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

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Article Contents

Vol.26 No.1

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

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics