Approximate quadratic functional inequality in $\beta$-homogeneous normed spaces
Received:December 08, 2018  Revised:June 19, 2019
Key Word: $\beta$-homogeneous space   generalized Hyers-Ulam stability   $\beta$-homogeneous space   generalized Hyers-Ulam stability
Fund ProjectL:The first author is supported by Key Project of Educational Department of Hubei Province of China (Grant Nos. D20161401) and 17YJA790098.
 Author Name Affiliation E-mail Zhihua Wang Hubei university of Technology matwzh2000@126.com
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Abstract:
Using the direct method, we investigate the generalized Hyers-Ulam stability of the following quadratic functional inequality \begin{align*} \|f(x-y)+f(y-z)+&amp;f(x-z)-3f(x)-3f(y)-3f(z)\|\nonumber\&amp; \leq \|f(x+y+z)\| \end{align*} in $\beta$-homogeneous complex Banach spaces.
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