Abstract
Results on weighted Hermite-, and Hermite-Fejér interpolation with respect to Jacobi weights are obtained. A rather wide extension of the notion of normality on weighted cases is established.
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References
L. Fejér, On the characterization of some remarkable systems of points of interpolation by means of conjugate points, American Math. Monthly, 41 (1934), 1-14.
G. Grünwald, On the theory of interpolation, Acta Math., 75 (1943), 219-245.
P. Vértesi, Hermite Fejér type interpolations. III, Acta Math. Acad. Sci. Hung., 34 (1979), 67-84.
L. Joó, On positive linear interpolation operators, Analysis Math., 1 (1975), 273-281.
H. N. Mhaskar and E. B. Saff, Where does the sup norm of a weighted polynomial live?, Constr. Approx., 1 (1985), 71-91.
C. Balázs, On an extremal problem connected with the fundamental polynomials of interpolation, Acta Math. Acad. Sci. Hung., 34 (1979), 307-315.
S. Szabó, Weighted interpolation: The L p -theory 1, Acta Math. Hungar., 83 (1999), 131-159.
Z. Ditzian and V. Totik, Moduli of Smothness, Springer-Verlag (1987).
G. Szegö, Orthogonal Polynomials, AMS Coll. Publ. Vol. 23 (1959).
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Horváth, Á.P. ρ(w)-Normal Point Systems. Acta Mathematica Hungarica 85, 9–27 (1999). https://doi.org/10.1023/A:1006608526365
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DOI: https://doi.org/10.1023/A:1006608526365