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Quadratic rho-functional inequalities in complex matrix normed spaces

Title
Quadratic rho-functional inequalities in complex matrix normed spaces
Author
박춘길
Keywords
Hyers-Ulam stability; matrix normed space; quadratic rho-functional equation; quadratic rho-functional inequality
Issue Date
2016-12
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 9, NO 9, Page. 5344-5352
Abstract
In this paper, we solve the following quadratic rho-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(2f(x + y)/2) + 2f(x - y/2) - f(x) - f(y))parallel to, where rho is a fixed complex number with |rho| < 1, and parallel to 2f(x + y/2)+2f(x - y/2) - f(x) - f(y)parallel to <= parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f(y))parallel to, where rho is a fixed complex number with |rho| < 1/2. By using the direct method, we prove the Hyers-Ulam stability of these inequalities in complex matrix normed spaces, and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with these inequalities in complex matrix normed spaces. (C) 2016 All rights reserved.
URI
https://www.isr-publications.com/jnsa/articles-2764-quadratic-rho-functional-inequalities-in-complex-matrix-normed-spaceshttps://repository.hanyang.ac.kr/handle/20.500.11754/102920
ISSN
2008-1898; 2008-1901
DOI
10.22436/jnsa.009.09.03
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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