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Nearly ternary derivationsopen access
- Issue Date
- Dec-2007
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- generalized Hyers-Ulam-Rassias stability; ternary derivation; extended Jensen functional equation
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.11, no.5, pp.1417 - 1424
- Indexed
- SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 11
- Number
- 5
- Start Page
- 1417
- End Page
- 1424
- ISSN
- 1027-5487
- Abstract
- Let A be a normed algebra and X a normed A-birnodule. By a ternary derivation we mean a triple (D(1), D(2), D(3)) of linear mappings D(1), D(2), D(3) A -> X such that D(1) (ab) = D(2)(a)b + aD(3)(b) for all a, b is an element of A. Our aim is to establish the stability of ternary derivations associated with the extended Jensen functional equation qf(Sigma(q)(k=1)xk/q) = Sigma(q)(k=1) f(xk) for all x(1),center dot center dot center dot, x(q) is an element of A, where q > 1 is a fixed positive integer.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)