On Ulam Stability of a Functional Equation
Krzysztof Ciepliński
Abstract
Abstract In this note, we study the Ulam stability of a functional equation both in Banach and m -Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions. Moreover, it is satisfied by the so-called multi-linear mappings.
Topics & Concepts
MathematicsBanach spaceFunctional equationStability (learning theory)Pure mathematicsMathematical analysisFunctional analysisApplied mathematicsDifferential equationChemistryMachine learningBiochemistryComputer scienceGeneFunctional Equations Stability ResultsMathematical and Theoretical AnalysisAdvanced Topics in Algebra