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ISSN : 1226-0657

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Vol.29 No.2

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Orthogonal Stability of an Euler-­Lagrange-­Jensen (a, b)-­cubic Functional Equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.2, pp.189-199
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.189
Pasupathi, Narasimman
Rassias, John Michael
Lee, Jung Rye
Shim, Eun Hwa
Pasupathi,, N. , Rassias,, J. M. , Lee,, J. R. , & Shim,, E. H. (2022). Orthogonal Stability of an Euler-­Lagrange-­Jensen (a, b)-­cubic Functional Equation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(2), 189-199, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.189

Abstract

In this paper, we introduce a new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation and obtain its general solution. Furthermore, we prove the Hyers-Ulam stability of the new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation in orthogonality normed spaces.

keywords
Euler-Lagrange-Jensen cubic functional equation, Hyers-Ulam stability, orthogonality normed space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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