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Functional Operators and Approximate Solutions of Functional Equations

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Topics in Mathematical Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 94))

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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.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44–100, Gliwice, Poland

    Stefan Czerwik

  2. Education Department, Zabrze City Hall, Powstańców Śląskich 5-7, 41-800, Zabrze, Poland

    Krzysztof Król

Authors
  1. Stefan Czerwik
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  2. Krzysztof Król
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Corresponding author

Correspondence to Stefan Czerwik .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics, University of Pécs, Pécs, Hungary

    László Tóth

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Czerwik, S., Król, K. (2014). Functional Operators and Approximate Solutions of Functional Equations. In: Rassias, T., Tóth, L. (eds) Topics in Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-06554-0_10

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