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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

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