Generalized Hyers-Ulam Stability of Trigonometric Functional Equations

Elhoucien Elqorachi, Michael Rassias
2018 Mathematics  
In the present paper we study the generalized Hyers-Ulam stability of the generalized trigonometric functional equations where S is a semigroup, σ: S −→ S is a involutive morphism, and µ: S −→ C is a multiplicative function such that µ(xσ(x)) = 1 for all x ∈ S. As an application, we establish the generalized Hyers-Ulam stability theorem on amenable monoids and when σ is an involutive automorphism of S.
doi:10.3390/math6050083 fatcat:bx5oqcpqx5ftxhy3yp432urarm