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On approximation solutions of the Cauchy-Jensen and the additive-quadratic functional equation in paranormed spaces. (English) Zbl 1438.39048

Summary: In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces. Moreover, we investigate the Hyers-Ulam-Rassias stability of the generalized Cauchy-Jensen equation in such spaces.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
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