Some hyperstability and stability results for the Cauchy and Jensen equations
M. B. Moghimi, Abbas Najati
Abstract
Abstract In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauchy equation.
Topics & Concepts
MathematicsCauchy distributionStability (learning theory)Applied mathematicsCauchy problemMathematical analysisPure mathematicsCalculus (dental)Initial value problemComputer scienceMachine learningDentistryMedicineFunctional Equations Stability ResultsMathematical and Theoretical AnalysisMeromorphic and Entire Functions