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STABILITY AND SUPERSTABILITY OF (f(r), f(8))-DOUBLE DERIVATIONS IN QUASI-BANACH ALGEBRAS
- Issue Date
- Jun-2015
- Publisher
- Kluwer Academic Publishers
- Keywords
- Functional equation; Hyers-Ulam stability; (f(r),f(s))-double derivation; Super-stability; Quasi-Banach algebra
- Citation
- Journal of Computational Analysis and Applications, v.18, no.6, pp 973 - 983
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 18
- Number
- 6
- Start Page
- 973
- End Page
- 983
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, the following functional equation Sigma(n)(k=2)[Sigma(k)(i1=2)Sigma(k+1)(i2=i1+1) center dot center dot center dot Sigma(n)(in-k+1=in-k+1) f( Sigma(n)i=1,i not equal(1),...,i(n-k+1) a(i)x(i) - Sigma(n-k+1) (r=1) a(ir)x(ir) - Sigma(n-k+1)(r=1))] +f(Sigma(n)(i=1)) = a(1)center dot 2(n-1) f(x(1)) is considered (n >= 2), and the Hyers-Ulam stability and superstability of (f(r), f(8))-double derivations on quasi-Banach algebras associated with the functional equation (0.1) are proved.
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