Behavior of bi-cubic functions in Lipschitz spaces

DOI10.1134/S1995080218060136zbMath1402.39011OpenAlexW2886852783WikidataQ129436950 ScholiaQ129436950MaRDI QIDQ1990015

Ismail Nikoufar

Publication date: 29 October 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218060136

zbMATH Keywords

Lipschitz spaceapproximationbi-cubic functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (3)

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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• Lipschitz stability of the Cauchy and Jensen equations
• Stability of the quadratic functional equation in Lipschitz spaces
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
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• APPROXIMATION OF CUBIC MAPPINGS WITH n-VARIABLES IN β-NORMED LEFT BANACH MODULE ON BANACH ALGEBRAS
• Approximation of the Cubic Functional Equations in Lipschitz Spaces
• LIPSCHITZ CRITERIA FOR BI-QUADRATIC FUNCTIONAL EQUATIONS
• Refined almost double derivations and Lie $*$-double derivations

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