The  Convergance  Properties  of  Quasi   Hemite-Fejer Interpolation  Polynomial on  the Disturbance  Chebyshev  Knot

数学季刊 ›› 1996, Vol. 11 ›› Issue (1): 100-106.

The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot

Henan University 475001

收稿日期:1995-01-06 出版日期:1996-03-30 发布日期:2025-02-27

The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot

Henan University 475001

Received:1995-01-06 Online:1996-03-30 Published:2025-02-27

摘要/Abstract

摘要： This paper discover that when disturbance occurs on Chebyshev knot,so long as the disturbance amount does not exceed ),then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still keeps the converge uniformly properites for any continuous function on[-1.1].Besides ,the paper estimates the convergance rate.

关键词: , disturbing Chebyshev Knot, quasi H-F interpolation, convergance properiters, approximating order

Abstract: This paper discover that when disturbance occurs on Chebyshev knot,so long as the disturbance amount does not exceed ),then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still keeps the converge uniformly properites for any continuous function on[-1.1].Besides ,the paper estimates the convergance rate.

Key words: , disturbing Chebyshev Knot, quasi H-F interpolation, convergance properiters, approximating order

中图分类号:

O154

文成林. The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot[J]. 数学季刊, 1996, 11(1): 100-106.

Wen Chenglin. The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(1): 100-106.

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The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot

The Convergance Properties of Quasi Hemite-Fejer Interpolation Polynomial on the Disturbance Chebyshev Knot

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