Integral Representation of the Error and AsymptoticError
نویسنده
چکیده
In this paper we will give an integral representation of the error for the generalized Pad e type approximants deened in 2]. We will deduce some asymptotic upper bounds on the error of sequences of these approximants. As applications, we will consider functions deened by their expansions in some families of classical orthogonal polynomials and obtain for the corresponding approximants some results on the speed of convergence. Finally we obtain some results on the asymptotic behaviour of the error of these approximants for generalized Stieljes functions.
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