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General solution and Ulam stability of generalized CQ functional equation

Sandra Pinelas|이정례|Vediyappan Govindan|P. Muniyappan
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.06|한국수학논문집 (Korean Journal of Mathematics)|제30권 제2호|pp. 403-412

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Ulam stabilitycubic functional equationnon-Archimedean spacequartic functional equation.
주제분류수학

초록

In this paper, we introduce the following cubic-quartic functional equation of the form $$ f(x+4y)+f(x-4y)=16\left[f(x+y)+f(x-y)\right]\pm 30f(-x)+\frac{5}{2}\left[f(4y)-64f(y)\right]. $$ Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.

Abstract

In this paper, we introduce the following cubic-quartic functional equation of the form $$ f(x+4y)+f(x-4y)=16\left[f(x+y)+f(x-y)\right]\pm 30f(-x)+\frac{5}{2}\left[f(4y)-64f(y)\right]. $$ Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.

참고문헌 (16)

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