## Orthogonal stability of an Euler-Lagrange-Jensen $$(a, b)$$-cubic functional equation.(English)Zbl 07558439

Summary: 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.

### MSC:

 39B52 Functional equations for functions with more general domains and/or ranges 39B72 Systems of functional equations and inequalities 39B82 Stability, separation, extension, and related topics for functional equations 46B03 Isomorphic theory (including renorming) of Banach spaces
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