Two general theorems on superstability of functional equations

DOI10.1007/s00010-014-0266-6zbMath1322.39011OpenAlexW1978510655WikidataQ59404888 ScholiaQ59404888MaRDI QIDQ2350277

Bing Xu, Adam Najdecki, Janusz Brzdȩk

Publication date: 19 June 2015

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-014-0266-6

zbMATH Keywords

functional equationsfunctional inequalityd'Alembert functional equationhomogeneity equationWilson functional equationCauchy exponential equationReynolds functional equationsuperstabilty

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Matrix and operator functional equations (39B42)

Related Items

Stability problem for the composite type functional equations, Generalized Hyers-Ulam stability of trigonometric functional equations, Stability of a functional equation connected with Reynolds operator, Ulam's type stability of involutional-exponential functional equations, STABILITY OF AN EXPONENTIAL-MONOMIAL FUNCTIONAL EQUATION, Unnamed Item, A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES

Cites Work

• The stability of d'Alembert and Jensen type functional equations
• Stability of the generalized Gołąb-Schinzel equation
• An abstract superstability theorem
• Stability of homogeneity almost everywhere
• Stability of the Cauchy type equations in \({\mathfrak L}_ p\) norms
• On the superstability of the functional equation \(f(x^ y)=yf(x)\)
• On the stability of the Gołąb--Schinzel functional equation
• On the stability of some functional equations for generalized hyperbolic functions and for the generalized cosine equation
• General theory of the translation equation
• Hyers-Ulam stability of functional equations in several variables
• On stability of a functional equation connected with the Reynolds operator
• Decomposition of mappings approximately inner product preserving
• Stability of Dhombres' equation
• The Stability of the Sine Equation
• The Stability of the Cosine Equation
• On a Theorem of Baker, Lawrence and Zorzitto
• The Stability of the Equation f(x + y) = f(x)f(y)
• ON THE SUPERSTABILITY OF CERTAIN FUNCTIONAL EQUATIONS
• The stability of the exponential equation
• The Stability of the Sine and Cosine Functional Equations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item