Stability of a mixed type quadratic, cubic and quartic functional equation

2008/12/15 by M‎. ‎Eshaghi Gordji, Gordji, M. Eshaghi, S. Kaboli-Gharetapeh +3
Mathematics · #39B52 #39B82 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.0812.2939

openalex publication_date 2008/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation 3(f(x+2y)+f(x-2y))=12(f(x+y)+f(x-y))+4f(3y)-18f(2y)+36f(y)-18f(x).

Citations

• On the stability of the linear mapping in Banach spaces

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• Stability of a functional equation deriving from quartic and additive functions
• Solution and Stability of a Mixed Type Functional Equation
• The stability of a quadratic type functional equation with the fixed point alternative
• On the stability of generalized mixed type quadratic and quartic functional equation in quasi-Banach spaces