Approximate Quadratic Functional Inequality in $\beta$-Homogeneous Normed Spaces
Received:December 08, 2018  Revised:September 04, 2019
Key Word: $\beta$-homogeneous space   generalized Hyers-Ulam stability   quadratic functional inequality  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11401190) and Humanities and Social Sciences of Ministry of Education Planning Fund (Grant No.17YJA790098).
Author NameAffiliation
Zhihua WANG School of Science, Hubei University of Technology, Hubei 430068, P. R. China 
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      Using the direct method, we investigate the generalized Hyers-Ulam stability of the following quadratic functional inequality $\|f(x-y)+f(y-z)+f(x-z)-3f(x)-3f(y)-3f(z)\|\leq \|f(x+y+z)\|$ in $\beta$-homogeneous complex Banach spaces.
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