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

Narasimman Pasupathi,John Michael Rassias,Jung Rye Lee,Eun Hwa Shim

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS（2022）

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Abstract
In this paper, we introduce a new generalized (a, b)-cubic Euler-LagrangeJensen 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.
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Euler-Lagrange-Jensen cubic functional equation,Hyers-Ulam stability,orthogonality normed space
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