3-Variable Additive rho-Functional Inequalities and Equations

Title
3-Variable Additive rho-Functional Inequalities and Equations
Authors
박춘길
Keywords
additive ρ-functional equation; additive ρ-functional inequality; Hyers-Ulam stability
Issue Date
2014-09
Publisher
Birkhauser Verlag AG
Citation
Results in Mathematics, 2014, 66(1-2), P.159-179
Abstract
In this paper, we introduce and investigate additive ρ-functional inequalities associated with the following additive functional equations f(x+y+z)?f(x)?f(y)?f(z)=02f(x+y/2+z)?f(x)?f(y)?2f(z)=02f(x+y+z/2)?f(x)?f(y)?f(z)=0 Furthermore, we prove the Hyers?Ulam stability of the additive ρ-functional inequalities in complex Banach spaces and prove the Hyers?Ulam stability of additive ρ-functional equations associated with the additive ρ-functional inequalities in complex Banach spaces.
URI
http://link.springer.com/article/10.1007%2Fs00025-014-0370-xhttp://repository.hanyang.ac.kr/handle/20.500.11754/69916
ISSN
1422-6383; 1420-9012
DOI
http://dx.doi.org/10.1007/s00025-014-0370-x
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE