Mean Convergence Criteria for
Quasi Hermite-Fejer Interpolating Operator

Wen Chenglin; ZhouXianwei

Volume 12 Issue 2

Mar. 2010

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Article Contents

Journal of Southwest Jiaotong University > 1999 > 12(2): 249-252.

Wen Chenglin, ZhouXianwei. Mean Convergence Criteria forQuasi Hermite-Fejer Interpolating Operator[J]. Journal of Southwest Jiaotong University, 1999, 12(2): 249-252.

Citation:

Wen Chenglin, ZhouXianwei. Mean Convergence Criteria for Quasi Hermite-Fejer Interpolating Operator[J]. Journal of Southwest Jiaotong University, 1999, 12(2): 249-252.

Wen Chenglin, ZhouXianwei. Mean Convergence Criteria forQuasi Hermite-Fejer Interpolating Operator[J]. Journal of Southwest Jiaotong University, 1999, 12(2): 249-252.

Citation:

Wen Chenglin, ZhouXianwei. Mean Convergence Criteria for Quasi Hermite-Fejer Interpolating Operator[J]. Journal of Southwest Jiaotong University, 1999, 12(2): 249-252.

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Mean Convergence Criteria for Quasi Hermite-Fejer Interpolating Operator

Publish Date: 25 Apr 1999

Abstract

Abstract

The mean convergence of quasi Hermite-Fejer interpolation operatorQ2n+1(w, f, x)is studied with the zeros of a kind of Jacobi orthogonal polynomial as interpolation node. Three convergence criteria for discriminating the operatorQ2n+1(w, f, x)converging to f(x)in mean are presented. Their equivalence is proved with cyclic proof.
- orthogonal polynomials,
- interpolation,
- convergence,
- operator