Title: On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces
Author(s): Prondanai Kaskasem, Chakkrid Klin-eam
Pages: 369-387
Cite as:
Prondanai Kaskasem, Chakkrid Klin-eam, On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces, Int. J. Anal. Appl., 17 (3) (2019), 369-387.

Abstract


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.


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