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- W877378966 abstract "Let (1) z0 = 1, z2n+1 = –1, zk = cos θk + i sin θk, zn+k = –zk, k = 1(1)2n be the vertical projections on unit circle of the zeros of (1 – x2)Pn(x), where Pn(x) stands for nth Legendre polynomial having the zeros xk = cos θk k = 1(1)n, such that 1 > x1 > … > xn > –1; Xie Siqing claimed regularity, explicit representation and convergence of (0, 1, 3) interpolation on the nodes (1). The explicit forms of these polynomials are very complicated as such in this paper, we obtain regularity, simpler explicit forms and quantitative estimate resulting convergence in the case of the weighted (0, 1, 3)–interpolation problem ." @default.
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- W877378966 date "2013-01-01" @default.
- W877378966 modified "2023-10-18" @default.
- W877378966 title "Weighted (0, 1, 3)* – Interpolation on Unit Circle" @default.
- W877378966 hasPublicationYear "2013" @default.
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