Generalized Hyers-Ulam Stability Analysis of a Cubic
Functional Equation in Generalized 2-Normed Spaces

G. Yagachitradevi; S. Lakshminarayanan; P. Ravindiran

doi:https://doi.org/10.14445/22315373/IJMTT-V69I10P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 10 | Year 2023 | Article Id. IJMTT-V69I10P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I10P504

Generalized Hyers-Ulam Stability Analysis of a Cubic Functional Equation in Generalized 2-Normed Spaces

G. Yagachitradevi, S. Lakshminarayanan, P. Ravindiran

Received	Revised	Accepted	Published
24 Aug 2023	29 Sep 2023	18 Oct 2023	31 Oct 2023

Abstract

This study aims to examine the generalized Hyers-Ulam stability of a cubic functional equation, namely G=24[g(v2+v1)+g(v1-v2)]+6[g(v3+v1)+g(v1-v3)]+48g(v1), where G = g(3v1+2v2+v3)+g(3v1+2v2-v3)+g(3v1-2v2+v3)g(3v1-2v2-v3), within the context of generalized 2-normed spaces.

Keywords

Ulam stability, Generalized hyers-ulam, Generalized 2-normed spaces, Functional equation, Cubic equation.

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Citation :

G. Yagachitradevi, S. Lakshminarayanan, P. Ravindiran, "Generalized Hyers-Ulam Stability Analysis of a Cubic Functional Equation in Generalized 2-Normed Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 10, pp. 25-30, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I10P504