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• W3017093002 abstract "Let G be an abelian group with a metric d, E be a normed space and f : G → E be a given function.We define difference C 3,1 f by the formulaC 3,1 f(x,y) = 3f(x + y) + 3f(x − y) + 48f(x) − f(3x + y) − f(3x − y)for every x,y ∈ G. Under some assumptions about f and C 3,1 f, we show that if C 3,1 f is Lipschitz,then there exists a cubic function C : G → E such that f − C is Lipschitz with the same constant.Moreover, we study the approximation of the equality C 3,1 f(x,y) = 0 in the Lipschitz norms." @default.
• W3017093002 created "2020-04-24" @default.
• W3017093002 creator A5004624295 @default.
• W3017093002 creator A5009961458 @default.
• W3017093002 date "2020-01-01" @default.
• W3017093002 modified "2023-09-23" @default.
• W3017093002 title "A new type of approximation for cubic functional equations in Lipschitz spaces" @default.
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• W3017093002 doi "https://doi.org/10.22075/ijnaa.2020.4277" @default.
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