On Approximate Cubic Homomorphisms
Copyright policy )On Approximate Cubic Homomorphisms
In this paper, we investigate the generalized Hyers--Ulam--Rassias stability of the system of functional equations $$f(xy)=f(x)f(y), \qquad\qquad. f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x), $$ on Banach algebras. Indeed we establish the superstability of above system by suitable control functions.
11 pages
- Semnan University Iran (Islamic Republic of)
Algebra and Number Theory, superstability, Systems of functional equations and inequalities, 46H25, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, Functional Analysis (math.FA), system of functional equations, Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Functional equations for functions with more general domains and/or ranges, Hyers-Ulam-Rassias stability, Banach algebras, Mathematics, Analysis
Algebra and Number Theory, superstability, Systems of functional equations and inequalities, 46H25, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, Functional Analysis (math.FA), system of functional equations, Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Functional equations for functions with more general domains and/or ranges, Hyers-Ulam-Rassias stability, Banach algebras, Mathematics, Analysis
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