Superstability of approximate cosine type functions on the monoid ℝ²

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Superstability of approximate cosine type functions on the monoid ℝ²

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Title: Superstability of approximate cosine type functions on the monoid ℝ²
Author: Bouikhalene, B.; Elqorachi, E.; Charifi, A.
Abstract: In this paper, we study the superstability problem for the cosine type functional equation f(x₁x₂, x₁y₂ + x₂y₁) + f(x₁x₂, y₁x₂ ‒ x₁y₂) = 2 f(x₁, y₁) f(x₂, y₂) on the commutative monoid (ℝ²,X). As a result we obtain cosine type functions satisfying the equation approximately.
URI: http://hdl.handle.net/10662/10383
Date: 2012


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