论文信息 - AN ERDŐS-TYPE CONVERGENCE PROCESS IN WEIGHTED INTERPOLATION. I, (FREUD-TYPE WEIGHTS) - 字舞流文

AN ERDŐS-TYPE CONVERGENCE PROCESS IN WEIGHTED INTERPOLATION. I, (FREUD-TYPE WEIGHTS)

We define a convergent weighted interpolatory process corresponding to an old procedure of Erdős.

[1] P. Erdös. On Some Convergence Properties of the Interpolation Polynomials , 1943 .

[2] Péter Vértesi. On the Lebesgue function of weighted Lagrange interpolation. II , 1998 .

[3] J. Szabados,et al. Weighted Lagrange and Hermite–Fejér interpolation on the real line , 1997 .

[4] Paul Erdös,et al. On Interpolation II: On the Distribution of the Fundamental Points of Lagrange and Hermite Interpolation , 1938 .

[5] Where Are the Nodes of “Good” Interpolation Polynomials on the Real Line? , 2000 .

[6] Vilmos Totik,et al. Weighted Approximation with Varying Weight , 1994 .

[7] P. Vértesi. On the Lebesgue Function of Weighted Lagrange Interpolation. I. (Freud-Type Weights) , 1999 .

[8] Giuseppe Mastroianni,et al. Functions of the Second Kind for Freud Weights and Series Expansions of Hilbert Transforms , 1995 .