On Additive ρ-Functional Equations Arising from Cauchy-Jensen Functional Equations and their Stability

Authors

Wuttichai Suriyacharoen, Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani, 12120, ThailandFollow
Wutiphol Sintunavarat, Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani, 12120, ThailandFollow

Author Country (or Countries)

Thailand

Abstract

In this paper, three new ρ–functional equations arising from Cauchy-Jensen functional equations are presented. Their relations with the additive function are obtained, and these ρ–functional equations are solved without any regularity assumptions. Their stability is also carried out in complex Banach spaces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160215

Recommended Citation

Suriyacharoen, Wuttichai and Sintunavarat, Wutiphol (2022) "On Additive ρ-Functional Equations Arising from Cauchy-Jensen Functional Equations and their Stability," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 15.
DOI: http://dx.doi.org/10.18576/amis/160215
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/15