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ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS
- Authors
- Park, Choonkil
- Issue Date
- Mar-2015
- Publisher
- Element d.o.o.
- Keywords
- Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality
- Citation
- Journal of Mathematical Inequalities, v.9, no.1, pp 17 - 26
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Inequalities
- Volume
- 9
- Number
- 1
- Start Page
- 17
- End Page
- 26
- ISSN
- 1846-579X
- 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.
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