STABILITY AND SUPERSTABILITY OF (f(r), f(8))-DOUBLE DERIVATIONS IN QUASI-BANACH ALGEBRAS

Jang, Sun Young; Park, Choonkil; Efteghar, Pegah; Farhadabadi, Shahrokh

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STABILITY AND SUPERSTABILITY OF (f(r), f(8))-DOUBLE DERIVATIONS IN QUASI-BANACH ALGEBRAS

Jang, Sun Young;
Park, Choonkil;
Efteghar, Pegah;
Farhadabadi, Shahrokh

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초록

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.

키워드

Functional equation; Hyers-Ulam stability; (f(r),f(s))-double derivation; Super-stability; Quasi-Banach algebra; FUNCTIONAL-EQUATION; ASTERISK-HOMOMORPHISMS; FIXED-POINTS

제목: STABILITY AND SUPERSTABILITY OF (f(r), f(8))-DOUBLE DERIVATIONS IN QUASI-BANACH ALGEBRAS

저자: Jang, Sun Young; Park, Choonkil; Efteghar, Pegah; Farhadabadi, Shahrokh

발행일: 2015-06

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 18

호: 6

페이지: 973 ~ 983