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Bounds and Inequalities for Lm Extremal Polynomials

โœ Scribed by Ying Guang Shi


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
150 KB
Volume
115
Category
Article
ISSN
0021-9045

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The L m extremal polynomials in an explicit form with respect to the weights (1&x) &1ร‚2 (1+x) (m&1)ร‚2 and (1&x) (m&1)ร‚2 (1+x) &1ร‚2 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