Stability for the Mixed Type of Quartic and Quadratic Functional Equations
Copyright policy )Stability for the Mixed Type of Quartic and Quadratic Functional Equations
We establish the general solutions of the following mixed type of quartic and quadratic functional equation:f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y). Moreover we prove the Hyers-Ulam-Rassias stability of this equation under the approximately quartic and the approximately quadratic conditions.
- Korea Advanced Institute of Science and Technology Korea (Republic of)
Banach space, Stability, separation, extension, and related topics for functional equations, direct method, metric group, quartic functional equations, fixed-point method, QA1-939, quadratic functional equations, Functional equations for functions with more general domains and/or ranges, Hyers-Ulam-Rassias stability, Mathematics
Banach space, Stability, separation, extension, and related topics for functional equations, direct method, metric group, quartic functional equations, fixed-point method, QA1-939, quadratic functional equations, Functional equations for functions with more general domains and/or ranges, Hyers-Ulam-Rassias stability, Mathematics
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