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Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces - MaRDI portal

Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces (Q1035058)

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scientific article; zbMATH DE number 5627596
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Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
scientific article; zbMATH DE number 5627596

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    Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces (English)
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    10 November 2009
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    Summary: We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation \[ f(x+2y)+f(x - 2y)=4(f(x+y)+f(x - y)) - 24f(y) - 6f(x)+3f(2y) \] in quasi-Banach spaces.
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    Ulam-Hyers stability
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    mixed type cubic and quartic functional equation
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    quasi-Banach spaces
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