Padé type approximants and orthogonal polynomials for Markov-Stieltjes functions : Extrapolation and rational approximation (Luminy, 1989)

• Padé-type approximants are rational functions with some preassigned poles whose power series expansion coincides with that of a given series as far as possible. The main open question for these approximants is the choice of the poles in order to obtain interesting approximation and convergence results. In this paper, the authors study this problem for functions of the Markov-Stieltjes type, when some of the poles are -1 and +1 with arbitrary multiplicities and points in the union of (-∞,-1) and (1,∞) with even multiplicities.

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Matematik

Mathematics

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ref (subject category)

art (subject category)