Generalized Padé-type approximants to continuous functions |
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Authors: | Nicholas J Daras |
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Institution: | (1) Department of Mathematics, Hellenic Military Academy, 166 73, Vari Attikis, Greece |
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Abstract: | Summary We define generalized Padé-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 Padé-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 Padé-type approximation sequence. |
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Keywords: | |
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