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- 저자 : Jens Schwaiger (검색결과 2 건)
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STABILITY OF THE MULTI-JENSEN EQUATION
Prager, Wolfgang,Schwaiger, Jens Korean Mathematical Society 2008 대한수학회보 Vol.45 No.1
Given an $m{\in}\mathbb{N}$ and two vector spaces V and W, a function f : $V^m{\rightarrow}W$ is called multi-Jensen if it satisfies Jensen's equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method.
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Stability of the multi-Jensen equation
Wolfgang Prager,Jens Schwaiger 대한수학회 2008 대한수학회보 Vol.45 No.1
Given an m ∈ N and two vector spaces V and W, a function f : V m → W is called multi-Jensen if it satisfies Jensen’s equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method Given an m ∈ N and two vector spaces V and W, a function f : V m → W is called multi-Jensen if it satisfies Jensen’s equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method
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