On the stability of radical septic functional equations
Emanuel Guariglia, K. Tamilvanan
Abstract
This paper deals with the approximate solution of the following functional equation fx7+y77=f(x)+f(y), where f is a mapping from R into a normed vector space. We show stability results of this equation in quasi-β-Banach spaces and (β,p)-Banach spaces. We also prove the nonstability of the previous functional equation in a relevant case.
Topics & Concepts
Banach spaceFunctional equationStability (learning theory)MathematicsPure mathematicsFunctional analysisSpace (punctuation)Vector spaceMathematical analysisComputer scienceDifferential equationChemistryGeneBiochemistryMachine learningOperating systemFunctional Equations Stability ResultsFixed Point Theorems AnalysisNumerical methods for differential equations