| Approximate Quadratic Functional Inequality in $\beta$-Homogeneous Normed Spaces |
| Received:December 08, 2018 Revised:September 04, 2019 |
| Key Words:
$\beta$-homogeneous space generalized Hyers-Ulam stability quadratic functional inequality
|
| Fund Project: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). |
|
| Hits: 748 |
| Download times: 621 |
| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.01.003 |
| View Full Text View/Add Comment |
