Quartic functional equations in Lipschitz spaces

DOI10.1007/S12215-014-0187-1zbMath1328.39046OpenAlexW1993683850MaRDI QIDQ2515993

Ismail Nikoufar

Publication date: 7 August 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0187-1

zbMATH Keywords

stabilityLipschitz spacequartic 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 (6)

Erratum to: ``Quartic functional equations in Lipschitz spaces ⋮ Ternary hom-ders in ternary Banach algebras ⋮ Behavior of bi-cubic functions in Lipschitz spaces ⋮ A new type of approximation for cubic functional equations in Lipschitz spaces ⋮ Stability of generalized multi-quadratic mappings in Lipschitz spaces ⋮ Almost tri-cubic functions with Lipschitz condition

Cites Work

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• A functional equation originating from quadratic forms
• Superstability of the Cauchy, Jensen and isometry equations
• Lipschitz stability of the Cauchy and Jensen equations
• Stability of the quadratic functional equation in Lipschitz spaces
• On the stability of a quartic functional equation
• On the generalized stability of dAlembert functional equation
• Solution and stability of a reciprocal type functional equation in several variables
• On some generalized invariant means and their application to the stability of the Hyers-Ulam type
• On the Stability of the Linear Functional Equation

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