Quadratic rho-functional inequalities in beta-homogeneous normed spaces
- Authors
- Park, Choonkil; Kim, Sang Og; Lee, Jung Rye; Shin, Dong Yun
- Issue Date
- Apr-2015
- Publisher
- SEMNAN UNIV
- Keywords
- Hyers-Ulam stability; beta-homogeneous space; quadratic rho-functional equation; quadratic rho-functional inequality
- Citation
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, v.6, no.2, pp.21 - 26
- Indexed
- OTHER
- Journal Title
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
- Volume
- 6
- Number
- 2
- Start Page
- 21
- End Page
- 26
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143570
- ISSN
- 2008-6822
- Abstract
- In [12], Park introduced the quadratic p-functional inequalities parallel to f (x + y) + f (x - y) - 2f (x) 2f (y)parallel to (0.1) <=parallel to rho(2 f (x + y/2) + 2f (x - y/2) - f(x) - f(y))parallel to where rho is a fixed complex number with vertical bar rho vertical bar < 1, and parallel to 2f (x + y/2) +2f (x - y/2) - f (x) - f (y)parallel to (0.2) <=(rho f (x + y) + f (x - y) - 2f (x) - 2f (y))parallel to, where rho is a fixed complex number with vertical bar rho vertical bar < 1/2. In this paper, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in beta-homogeneous complex Banach spaces and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with the quadratic rho-functional inequalities (0.1) and (0.2) in beta-homogeneous complex Banach spaces.
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