On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

Kaskasem, Prondanai; Klin-eam, Chakkrid

doi:10.28924/2291-8639-17-2019-369

Research Article

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

Prondanai Kaskasem¹
Chakkrid Klin-eam¹*

Department of Mathematics, Faculty of Science, Naresuan university

* Corresponding author

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.

How to Cite

P. Kaskasem, C. Klin-eam, On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces, Int. J. Anal. Appl. 17 (2019), 369–387. https://doi.org/10.28924/2291-8639-17-2019-369

BibTeX

@article{Kaskasem2019,
  author  = {Kaskasem, Prondanai and Klin-eam, Chakkrid},
  title   = {On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {17},
  year    = {2019},
  pages   = {369--387},
  doi     = {10.28924/2291-8639-17-2019-369}
}

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