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Quadratic rho-functional inequalities in beta-homogeneous normed spaces

Title
Quadratic rho-functional inequalities in beta-homogeneous normed spaces
Author
박춘길
Keywords
Hyers-Ulam stability; beta-homogeneous space; quadratic rho-functional inequality
Issue Date
2017-01
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 10, no. 1, page. 104-110
Abstract
In this paper, we solve the quadratic rho-functional inequalitiesparallel to f(x + y) + f(x- y) - 2f(x) - 2f(y)parallel to <= 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 < 1, andparallel to 4f (x + y/2) + f (x - y) - 2f(x) - 2f(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 vertical bar rho vertical bar < 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.
URI
https://www.isr-publications.com/jnsa/articles-3159-quadratic-rho-functional-inequalities-in-beta-homogeneous-normed-spaceshttps://repository.hanyang.ac.kr/handle/20.500.11754/106041
ISSN
2008-1898; 2008-1901
DOI
10.22436/jnsa.010.01.10
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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