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ON CONVERGENCE OF A GENERALIZED P AL INTERPOLATION PROCESS

ON CONVERGENCE OF A GENERALIZED P AL INTERPOLATION PROCESS
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摘要 Let f∈C[-1,1]and R. (r≥1 ) be the reneralized Pal iner polation polynomials satisf ying the conditions Rn, where{xk} are the roots of n-th Jacobi polynomial Pn and are the roots of In this paper,we prove that Rn holds uniformly on [0,1]. Let f∈C[-1,1]and R. (r≥1 ) be the reneralized Pal iner polation polynomials satisf ying the conditions Rn, where{xk} are the roots of n-th Jacobi polynomial Pn and are the roots of In this paper,we prove that Rn holds uniformly on [0,1].
出处 《Analysis in Theory and Applications》 1999年第4期15-22,共8页 分析理论与应用(英文刊)
基金 Supported by the Science Foundation of CSBTB the Natural Science Foundatioin of Zhejiang.
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