박춘길
2019-05-28T00:21:11Z
2019-05-28T00:21:11Z
2017-01
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 10, no. 1, page. 104-110
2008-1898
2008-1901
https://www.isr-publications.com/jnsa/articles-3159-quadratic-rho-functional-inequalities-in-beta-homogeneous-normed-spaces
https://repository.hanyang.ac.kr/handle/20.500.11754/106041
In this paper, we solve the quadratic rho-functional inequalitiesparallel to f(x + y) + f(x- y) - 2f(x) - 2f(y)parallel to &lt;= parallel to rho (4f (x + y/2) + f (x - y) - 2f(x) - 2f(y)parallel to,where rho is a fixed complex number with vertical bar rho vertical bar &lt; 1, andparallel to 4f (x + y/2) + f (x - y) - 2f(x) - 2f(y)parallel to &lt;= parallel to 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 &lt; 1.Using the direct method, we prove the Hyers-Ulam stability of the quadratic beta-functional inequalities (1) and (2) in fi homogeneous complex Banach spaces. (C) 2017 all rights reserved.
G. Lu was supported by Doctoral Science Foundation of Shengyang University of Technology (No. 521101302), the Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry and natural fund of Liaoning Province (No. 201602547). Y. Jin was supported by National Natural Science Foundation of China (11361066), the study of high-precision algorithm for high dimensional delay partial differential equations 2014-2017.
en
INT SCIENTIFIC RESEARCH PUBLICATIONS
Hyers-Ulam stability
beta-homogeneous space
quadratic rho-functional inequality
Quadratic rho-functional inequalities in beta-homogeneous normed spaces
Article
1
10
10.22436/jnsa.010.01.10
104-110
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Park, Choonkil
Lu, Gang
Cui, Yinhua
Jin, Yuanfeng
2017008808
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
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