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

Yang-Hi Lee
한국수학교육학회|2019.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제26권 제1호|pp. 49-58|DOI https://doi.org/10.7468/jksmeb.2019.26.1.49

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참고문헌

키워드

direct methodgeneralized Hyers-Ulam stabilityquadratic-cubic functional equationmodular space.
주제분류수학

초록

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

Abstract

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

참고문헌 (21)

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