On Some Extremal Properties of Lagrange Interpolatory Polynomials
β Scribed by S.P. Sidorov
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 144 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The L m extremal polynomials in an explicit form with respect to the weights (1&x) &1Γ2 (1+x) (m&1)Γ2 and (1&x) (m&1)Γ2 (1+x) &1Γ2 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
This paper studies elementary transcendental equations of the type z q pz q . z n q e q rz s 0, where p, q, r g β«,ήβ¬ , p ) 0, q G 0, r / 0, n s 0, 1, 2. We are mainly interested in the case n s 0 for which a characterization of stability is accomplished; that is, we state a necessary and sufficient