Stability of a Quartic Functional Equation in Restricted Domains
Copyright policy )Stability of a Quartic Functional Equation in Restricted Domains
LetXbe a real normed space andYa Banach space andf:X→Y. We prove the Ulam-Hyers stability theorem for the quartic functional equationf(2x+y)+f(2x-y)-4f(x+y)-4f(x-y)-24f(x)+6f(y)=0in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality whenf:R→Y.
- Pusan National University Korea (Republic of)
- Kunsan National University Korea (Republic of)
- Department of Mathematics
Banach space, Orthogonal additivity and other conditional functional equations, Stability, separation, extension, and related topics for functional equations, measure zero stability, Ulam-Hyers stability, restricted domains, quartic functional equation, QA1-939, Functional equations for functions with more general domains and/or ranges, Mathematics
Banach space, Orthogonal additivity and other conditional functional equations, Stability, separation, extension, and related topics for functional equations, measure zero stability, Ulam-Hyers stability, restricted domains, quartic functional equation, QA1-939, Functional equations for functions with more general domains and/or ranges, Mathematics
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