On the stability of a class of cosine type functional equations

  • John Michael Rassias National and Kapodistrian University of Athens Pedagogical Department of Education Mathematics and Informatics Section
  • Driss Zeglami ENSAM, Moulay Ismail University Department of Mathematics
  • Ahmed Charifi Ibn Tofail University Faculty Of Sciences Department of Mathematics

Resumo

The aim of this paper is to investigate the stability problem for the pexiderized trigonometric functional equation
    f₁(xy)+f₂(xσ(y))=2g₁(x)g₂(y),  x,y∈G,  
where G is an arbitrary group, f₁,f₂,g₁ and g₂ are complex valued functions on G and σ is an involution of G. Results of this paper also can be extended to the setting of monoids (that is, a semigroup with identity) that need not be abelian.

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Publicado
2017-04-23
Seção
Artigos