STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
Copyright policy )STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation $$f(2x+y)+f(2x-y)=4(f(x+y)+f(x-y))-{3/7}(f(2y)-2f(y))+2f(2x)-8f(x).$$
- Semnan University Iran (Islamic Republic of)
Mathematics - Functional Analysis, 39B82, 39B52, functional equations, real vector spaces, FOS: Mathematics, Stability, separation, extension, and related topics for functional equations, Functional equations for functions with more general domains and/or ranges, additive functions, quartic functions, symmetric multiadditive function, Functional Analysis (math.FA)
Mathematics - Functional Analysis, 39B82, 39B52, functional equations, real vector spaces, FOS: Mathematics, Stability, separation, extension, and related topics for functional equations, Functional equations for functions with more general domains and/or ranges, additive functions, quartic functions, symmetric multiadditive function, Functional Analysis (math.FA)
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