ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS

- Title
- ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS

- Author
- 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

- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles

- Files in This Item:
- ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS.pdfDownload

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