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http://dx.doi.org/10.14403/jcms.2020.33.1.9

STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION  

Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.33, no.1, 2020 , pp. 9-18 More about this Journal
Abstract
In this paper, we investigate the stability of a quadratic-cubic-quartic functional equation $$f(x+ky)+f(x-ky)-k^2f(x+y)-k^2f(x-y)-2(1-k^2)f(x)-{\frac{k^2(k^2-1)}{6}}(f(2y)+2f(-y)-6f(y))=0$$ by applying the direct method in the sense of Gǎvruta.
Keywords
generalized Hyers-Ulam stability; quadratic-cubic-quartic functional equation; quadratic-cubic-quartic mapping;
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Times Cited By KSCI : 4  (Citation Analysis)
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