Hyers-Ulam stability of zeros of polynomials

DOI10.1016/j.aml.2011.03.002zbMath1217.26023OpenAlexW2024267826MaRDI QIDQ540277

Jung, Soon-Mo

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.03.002

zbMATH Keywords

approximationHyers-Ulam stabilitypolynomialzero

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (7)

A note on stability of polynomial equations ⋮ Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces ⋮ A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules ⋮ A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on \({\beta}\)-Banach modules ⋮ Approximation of mixed-type functional equations in Menger PN-spaces ⋮ Unnamed Item ⋮ On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras

Cites Work

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• On the stability of functional equations
• Hyers-Ulam stability of a polynomial equation
• Note on nonstability of the linear recurrence
• Hyers-Ulam stability of functional equations in several variables
• The Stability of Certain Functional Equations
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms

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