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Citations since 2017
2 Research Items
In this paper, we study the explicit representation of weighted Pál-type (0,2)-interpolation on two pairwise disjoint sets of nodes on the unit circle, which are obtained by projecting vertically the zeros of (1−x²)Pn(x) and Pn′′(x) respectively, where Pn(x) stands for nth Legendre polynomial. AMS Classification (2000): 41A05, 30E10.
In this paper, we consider the existence, explicit representation and conver- gence of a new kind of (0; 1; 2)-interpolation on non-uniformly distributed set of nodes on the unit circle.