Stability of an AQCQ functional equation in non-Archimedean ( n , β )-normed spaces

Yachai Liu; Xiuzhong Yang; Guofen Liu

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Stability of an AQCQ functional equation in non-Archimedean ( n , β )-normed spaces

机译：Stability of an AQCQ functional equation in non-Archimedean ( n , β )-normed spaces

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摘要

In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y)$$f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f( - 2y) - 4f(y) - 4f( - y)$$ in non-Archimedean ( n , β )-normed spaces.

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来源
《Demonstratio Mathematica》 |2019年第1期|130-146|共17页
作者
Yachai Liu; Xiuzhong Yang; Guofen Liu;
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作者单位

College of Mathematics and Information Science, Hebei Normal University, and Hebei Key Laboratory of Computational Mathematics and Applications;

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正文语种英语
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non-Archimedean (n; β)-normed space; Hyers-Ulam-Rassias stability; AQCQ functional equation;

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Stability of an AQCQ functional equation in non-Archimedean ( n , β )-normed spaces

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