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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.29 No.2

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ORTHOGONAL STABILITY OF AN EULER-LAGRANGE-JENSEN (a, b)-CUBIC FUNCTIONAL EQUATION

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2022, v.29 no.2, pp.189-199
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.189
Pasupathi, Narasimman (Department of Mathematics, Thiruvalluvar University College of Arts and Science)
Rassias, John Michael (Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens)
Lee, Jung Rye (Department of Data Science, Daejin University)
Shim, Eun Hwa (Department of Mathematics, Hanyang University)
Pasupathi, Narasimman, Rassias, John Michael, Lee, Jung Rye, & Shim, Eun Hwa. (2022). ORTHOGONAL STABILITY OF AN EULER-LAGRANGE-JENSEN (a, b)-CUBIC FUNCTIONAL EQUATION, 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

한국수학교육학회지시리즈B:순수및응용수학

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