The Stability of a Multi-Quadratic Functional Equation on a Restricted Domain
نویسندگان
چکیده
منابع مشابه
Intuitionistic fuzzy stability of a quadratic and quartic functional equation
In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.
متن کاملstability of the quadratic functional equation
In the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{E}$$ isgiven where $sigma$ is an involution of the normed space $E$ and$k$ is a fixed positive integer. Furthermore we investigate theHyers-Ulam-Rassias stability of the functional equation. TheHyers-Ulam stability on unbounded domains is also studied.Applic...
متن کاملstability of the quadratic functional equation
in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...
متن کاملintuitionistic fuzzy stability of a quadratic and quartic functional equation
in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.
متن کاملOn the Stability of Quadratic Functional Equation
In this paper the stability of quadratic functional equation, f(xy)+f(xy)=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional equation may not be stable in any abelian group.
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ژورنال
عنوان ژورنال: Operations Research and Fuzziology
سال: 2016
ISSN: 2163-1476,2163-1530
DOI: 10.12677/orf.2016.64014