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A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation

이양희
한국수학교육학회|2019.12|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제26권 제4호|pp. 267-276|DOI https://doi.org/10.7468/jksmeb.2019.26.4.267

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키워드

stabilityadditive-cubic-quartic functional equationfixed point theory.
주제분류수학

초록

In this paper, we investigate the stability of an additive-cubic-quartic functional equation \begin{align*} f(x+2y) & - 4f(x+y) + 6f(x) - 4f(x-y) + f(x-2y) - 12f(y) - 12f(-y) = 0 \end{align*} by applying the fixed point theory in the sense of L. C\u adariu and V. Radu.

Abstract

In this paper, we investigate the stability of an additive-cubic-quartic functional equation \begin{align*} f(x+2y) & - 4f(x+y) + 6f(x) - 4f(x-y) + f(x-2y) - 12f(y) - 12f(-y) = 0 \end{align*} by applying the fixed point theory in the sense of L. C\u adariu and V. Radu.

참고문헌 (18)

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