Applications of Banach Limit in Ulam Stability
Roman Badora, Janusz Brzdȩk, Krzysztof Ciepliński
Abstract
We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.
Topics & Concepts
MathematicsLimit (mathematics)Stability (learning theory)Banach spaceCauchy distributionApplied mathematicsMathematical analysisFunctional equationDifferential equationComputer scienceMachine learningFunctional Equations Stability ResultsAdvanced Topics in AlgebraMathematical and Theoretical Analysis