Stability of generalized quadratic functional equation on a set of measure zero
نویسندگان
چکیده
منابع مشابه
stability 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...
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ژورنال
عنوان ژورنال: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
سال: 2015
ISSN: 2300-133X
DOI: 10.1515/aupcsm-2015-0011