On the stability of an n-dimensional quadratic and additive functional equation

DOI10.7153/mia-09-16zbMath1093.39026OpenAlexW2316321136MaRDI QIDQ5471348

Kil-Woung Jun, Hark-Mahn Kim

Publication date: 6 June 2006

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-09-16

zbMATH Keywords

Banach spacequadratic mappinggeneralized Hyers-Ulam-Rassias stabilityadditive mapping\(n\)-dimensional quadratic and additive functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (14)

Various generalized Ulam-Hyers stabilities of a nonic functional equations ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Measure zero stability problem of a generalized quadratic functional equation ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ Stability of an \(n\)-dimensional mixed-type additive and quadratic functional equation in random normed spaces ⋮ Fuzzy stability of an \(n\)-dimensional quadratic and additive functional equation ⋮ Unnamed Item ⋮ Stability in generalized functions ⋮ On the stability of a mixed type quadratic-additive functional equation ⋮ On approximately of a \(\sigma\)-quadratic functional equation on a set of measure zero ⋮ Baire category theorem and approximation of the Pexider quadratic functional equation on a set of Lebesgue measure zero ⋮ Stability of a Jensen type quadratic-additive functional equation under the approximately conditions ⋮ On the generalized Hyers-Ulam stability of an \(n\)-dimensional quadratic and additive type functional equation ⋮ Solution and Stability of n-Dimensional Quadratic Functional Equation

This page was built for publication: On the stability of an n-dimensional quadratic and additive functional equation