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On an open problem of P. Turán concerning Birkhoff interpolation based on the roots of unity

✍ Scribed by J Szabados; A.K Varma


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
345 KB
Volume
47
Category
Article
ISSN
0021-9045

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On Some Problems of P. Turán Concerning
✍ Ying Guang Shi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 139 KB

The L m extremal polynomials in an explicit form with respect to the weights (1&x) &1Â2 (1+x) (m&1)Â2 and (1&x) (m&1)Â2 (1+x) &1Â2 for even m are given. Also, an explicit representation for the Cotes numbers of the corresponding Tura n quadrature formulas and their asymptotic behavior is provided. 1