Functional Operators and Approximate Solutions of Functional Equations

Stefan Czerwik () and Krzysztof Król ()
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Stefan Czerwik: Silesian University of Technology
Krzysztof Król: Zabrze City Hall

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 259-276 from Springer

Abstract: 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.

Keywords: Functional equation; Functional operator; Approximation by the integral least squares method; Estimation of the error of approximation; 39B22; 39B99; 40A05; 41A30. (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_10

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DOI: 10.1007/978-3-319-06554-0_10

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