The additive approximation on a four-variate Jensen-type operator equation

Jian Wang

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-17

Abstract:

We study the Hyers-Ulam stability theory of a four-variate Jensen-type functional equation by considering the approximate remainder ϕ and obtain the corresponding error formulas. We bring to light the close relation between the β -homogeneity of the norm on F ∗ -spaces and the approximate remainder ϕ , where we allow p , q , r , and s to be different in their Hyers-Ulam-Rassias stability.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:198757

DOI: 10.1155/S0161171203210486

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