Maximum of certain fundamental Lagrange interpolation polynomials
نویسندگان
چکیده
منابع مشابه
Stieltjes polynomials and Lagrange interpolation
Bounds are proved for the Stieltjes polynomial En+1, and lower bounds are proved for the distances of consecutive zeros of the Stieltjes polynomials and the Legendre polynomials Pn. This sharpens a known interlacing result of Szegö. As a byproduct, bounds are obtained for the Geronimus polynomials Gn. Applying these results, convergence theorems are proved for the Lagrange interpolation process...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1941
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1941-07360-x