Abstract
We define generalized Pade-type approximants to continuous functions on a compact subset Eof Rnsatisfying the Markov's inequality and we show that the Fourier series expansion of a generalized Pade-type approximant to a u ∈ C ∞(E ) matches the Fourier series expansion of uas far as possible. After studying the errors, we give integral representations and an answer to the convergence problem of a generalized Pade-type approximation sequence.
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