ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS

Title
ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS
Authors
박춘길
Keywords
Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality
Issue Date
2015-03
Publisher
ELEMENT
Citation
JOURNAL OF MATHEMATICAL INEQUALITIES, v. 9, NO 1, Page. 17-26
Abstract
In this paper, we investigate the additive rho-functional inequalities parallel to f(Sigma(k)(j=1)xj) - Sigma(k)(j=1)f(xj)parallel to ˂=parallel to rho(kf(Sigma(k)(j=1)xj/k) - Sigma(k)(j=1)f(xj)parallel to (0.1) and parallel to kf(Sigma(k)(j=1)xj/k - Sigma(k)(j=1)f(xj)parallel to ˂=parallel to rho(f(Sigma(k)(j=1)xj) - Sigma(k)(j=1)f(xj)parallel to, (0,2) where rho is a fixed complex number with vertical bar rho vertical bar ˂ 1. Furthermore, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (0.1) and (0.2) in complex Banach spaces.
URI
http://jmi.ele-math.com/09-02/Additive-rho-functional-inequalities-and-equationshttp://hdl.handle.net/20.500.11754/23437
ISSN
1846-579X
DOI
http://dx.doi.org/10.7153/jmi-09-02
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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