Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol99.Issue1-2.1998:
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Using another approach to form approximants of the two-dimensional continued fraction, elementary properties of two-dimensional continued fractions are investigated.. In particular,
Pan, Asymptotics for Sobolev orthogonal polynomials with coherent pairs: the Jacobi case, Type I, Proc. Szeg˝o, Orthogonal Polynomials, 4th
But there also exist Markov functions f with smooth dening measures such that the rational best approximants to f are not unique for odd denominator degrees up to a given one..
Thron, Orthogonal Laurent polynomials of Jacobi, Hermite and Laguerre Types, Orthogonal Functions, Moment Theory, and Continued Fractions: Theory and Applications (William B.
Keywords: Nondenite linear functionals; Orthogonal polynomials; Nonexistence; Moment preserving spline approximation.. Thus, our problem is connected with the existence of real
Carrying over this idea to Lagrange interpolation, extended interpolation formulas, based on the zeros of Stieltjes polynomials or other choices of nodes, have been considered in
Freud: when dealing with weighted polynomials (in his case orthogonal polynomials) on an innite interval we can restrict the polynomials to some explicitly given nite intervals
Keywords: Sobolev orthogonal polynomials; Laguerre polynomials; Sobolev–Laguerre polynomials; Bessel polynomials; Reproducing kernels; Generating functions; Laplace
