On the superstability of the functional equation \(f(x^ y)=yf(x)\)

DOI10.1007/BF02940839zbMath0890.39022OpenAlexW4243278945MaRDI QIDQ1378262

Jung, Soon-Mo

Publication date: 29 June 1998

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940839

zbMATH Keywords

Hyers-Ulam stabilitysuperstabilityfunctional equation of the logarithm

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Systems of functional equations and inequalities (39B72)

Related Items (4)

A Fixed Point Approach to the Stability of a Logarithmic Functional Equation ⋮ On the stability of functional equations in Banach spaces ⋮ On the stability of the functional equation \(f(x+y+xy)=f(x)+f(y)+xf(y)+yf(x)\) ⋮ Two general theorems on superstability of functional equations

Cites Work

• Hyers-Ulam stability of functional equations in several variables
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the Stability of the Linear Mapping in Banach Spaces
• The stability of the exponential equation
• Approximate homomorphisms
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