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Functional Operators and Approximate Solutions of Functional Equations

In: Topics in Mathematical Analysis and Applications

Author

Listed:
  • Stefan Czerwik

    (Silesian University of Technology)

  • Krzysztof Król

    (Zabrze City Hall)

Abstract

In this paper we consider the problem of approximate solutions of functional equations.In the first part of this chapter we present the integral least squares method for functional equations.The second part is devoted to investigations on some functional operators, useful for both theory and applications.Finally, in the last one we present some results on convergence of a sequence of approximate solutions of a functional equation obtained by the integral least squares method as well as some estimations of the errors of approximations.

Suggested Citation

  • Stefan Czerwik & Krzysztof Król, 2014. "Functional Operators and Approximate Solutions of Functional Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & László Tóth (ed.), Topics in Mathematical Analysis and Applications, edition 127, pages 259-276, Springer.
  • Handle: RePEc:spr:spochp:978-3-319-06554-0_10
    DOI: 10.1007/978-3-319-06554-0_10
    as

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