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  • Research Article
  • Open Access

On Stability of a Functional Equation Connected with the Reynolds Operator

Journal of Inequalities and Applications20072007:079816

  • Received: 18 July 2006
  • Accepted: 3 December 2006
  • Published:


Let be an Abelain semigroup, , and let be either or . We prove superstability of the functional equation in the class of functions . We also show some stability results of the equation in the class of functions .


  • Functional Equation
  • Stability Result
  • Reynolds Operator


Authors’ Affiliations

Institute of Mathematics, University of Rzeszów, Rejtana 16A, Rzeszów, 35-310, Poland


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© Adam Najdecki 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.