THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO|x|~α 被引量：2

THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO|x|~α

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摘要 In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in [-1,1] due to M.Revers concerning f（x） = ｜x｜α with on equally In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in [-1,1] due to M.Revers concerning f（x） = ｜x｜α with on equally

作者 Zhikang Lu Xifang Ge

机构地区 Hangzhou Teacher＇s College Zhejiang Tongji Professional College of Science and Technology

出处《Analysis in Theory and Applications》 2006年第3期201-207,共7页 分析理论与应用（英文刊）

关键词 Lagrange interpolation equidistant nodes CONVERGENCE Lagrange interpolation, equidistant nodes, convergence

分类号 O174.21 [理学—基础数学]

引文网络
相关文献

参考文献7

1XiaMao.ON LAGRANGE INTERPOLATION TO |x|α(1 < α < 2) WITH EQUALLY SPACED NODES[J].Analysis in Theory and Applications,2004,20(3):281-287. 被引量：8
2M. Revers.On Lagrange interpolatory parabolas to $\left | x\right | ^{\alpha }$ at equally spaced nodes[J].Archiv der Mathematik.2000(5)
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4Natanson,I. P., Constructive Function Theory[]..1965
5Revers,M.The Divergence of Lagrange Interpolation for |x|αat Equidistant Nodes[].J Approx Theroy.2000
6Revers,M.On Lagrange Interpolation with Equally Spaced Nodes[].Bull Austral Math Soc.2000
7Runck,P. O.Uber Konvergenzfragen bei Polynominterpolation Mit aquidistanten Knoten I[].Journal fur die Reine und Angewandte Mathematik.1961

二级参考文献3

1M. Revers.On Lagrange interpolatory parabolas to $\left | x\right | ^{\alpha }$ at equally spaced nodes[J].Archiv der Mathematik.2000(5)
2Serge Bernstein.Quelques remarques sur l’interpolation[J].Mathematische Annalen (-).1918(1-2)
3Lu Zhikang and Xia Mao (Hangzhou Teacher’s College, China)Department of Mathematics Hangzhou Teacher’s College Hangzhou,310012 P.R.China.THE DIVERGENCE OF LAGRANGE INTERPOLATION IN EQUIDISTANT NODES[J].Analysis in Theory and Applications,2003,19(2):160-165. 被引量：5

共引文献7

1郭妞萍,黄志强,杨晓东.在等距节点处对函数∣x∣~α进行拉格朗日插值时的收敛性[J].西南民族大学学报（自然科学版）,2006,32(6):1106-1110. 被引量：4
2黄志强,郭妞萍.在等距节点处对函数|x|~α(3<α<4)进行拉格朗日插值的收敛阶[J].西南民族大学学报（自然科学版）,2011,37(1):19-22. 被引量：3
3张慧明,段生贵,李建俊.｜x｜^α在第二类Chebyshev结点的有理插值[J].四川师范大学学报（自然科学版）,2015,38(6):889-892. 被引量：10
4张慧明,段生贵,李建俊.|x|~α(1≤α<2)在等距结点的有理插值[J].华中师范大学学报（自然科学版）,2016,50(1):21-23. 被引量：10
5张慧明,李建俊.｜x｜~α在Chebyshev结点的有理插值[J].黑龙江大学自然科学学报,2016,33(4):491-495. 被引量：10
6许江海,赵易,蒋银停.|x|~α在调整的Chebyshev结点组的有理插值[J].杭州电子科技大学学报（自然科学版）,2017,37(2):89-91. 被引量：1
7许江海,赵易.|x|~α的有理插值[J].数学杂志,2018,38(4):693-695. 被引量：2

同被引文献18

1郭妞萍,黄志强,杨晓东.在等距节点处对函数∣x∣~α进行拉格朗日插值时的收敛性[J].西南民族大学学报（自然科学版）,2006,32(6):1106-1110. 被引量：4
2XiaMao.ON LAGRANGE INTERPOLATION TO |x|α(1 < α < 2) WITH EQUALLY SPACED NODES[J].Analysis in Theory and Applications,2004,20(3):281-287. 被引量：8
3Zhikang Lu,Xifang Ge.THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~a[J].Analysis in Theory and Applications,2005,21(4):385-394. 被引量：2
4Hui Su Shusheng Xu.THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~α(2<α<4) AT EQUIDISTANT NODES[J].Analysis in Theory and Applications,2006,22(2):146-154. 被引量：3
5卢志康,吴晓红.插值多项式对函数|x|~α的逼近[J].浙江大学学报（理学版）,2006,33(6):610-612. 被引量：1
6BERNSTEIN S. Quelques remarques surl interpolation[J] Math Ann, 1918, 791-12.
7REVERS M. The divergence of Lagrange interpolation for h:at equidistant notes[J]. J Approx Theory, 2000, 103 269-280.
8NATANSON I P. Constructive Function Theory Vol m [M]. New York: Fredrick Ungar, 1965 : 30-35.
9REVERS M. On Lagrange interpolatory parabolas to c at equally spaced nodes[J]. Arch Math, 2000, 74:385-391.
10REVERS M. On Lagrange interpolation with equally spaced nodes[J]. Bull Austral Math Soc, 2000, 62:357-368.

引证文献2

1张慧明,段生贵,李建俊.｜x｜^α在第二类Chebyshev结点的有理插值[J].四川师范大学学报（自然科学版）,2015,38(6):889-892. 被引量：10
2张慧明,段生贵,李建俊.|x|~α(1≤α<2)在等距结点的有理插值[J].华中师范大学学报（自然科学版）,2016,50(1):21-23. 被引量：10

二级引证文献14

1张慧明,李建俊.｜x｜~α在Chebyshev结点的有理插值[J].黑龙江大学自然科学学报,2016,33(4):491-495. 被引量：10
2张慧明,李建俊.︱x︱在Newman结点组的有理插值[J].中山大学学报（自然科学版）,2016,55(6):64-66.
3张慧明,李建俊.|x|在Newman结点组的有理插值[J].高等学校计算数学学报,2016,38(4):367-374.
4许江海,赵易,蒋银停.|x|~α在调整的Chebyshev结点组的有理插值[J].杭州电子科技大学学报（自然科学版）,2017,37(2):89-91. 被引量：1
5王徐炜,胡晓敏,查星星.|x|~α(0<α<2)在Newman结点组下的渐近性质[J].杭州电子科技大学学报（自然科学版）,2017,37(2):95-98.
6程一元,张永全,费经泰.|x|~α(1≤α<2)在Chebyshev结点组的有理逼近[J].中国计量大学学报,2017,28(3):404-408.
7蒋银停,赵易,许江海.|x|~α在一类结点组的有理插值[J].杭州电子科技大学学报（自然科学版）,2017,37(1):91-94.
8许江海,赵易.|x|~α的有理插值[J].中山大学学报（自然科学版）,2017,56(6):64-67. 被引量：1
9张慧明,李建俊.|x|在加密Newman结点的有理插值[J].工程数学学报,2018,35(4):408-414. 被引量：6
10程一元,张永全,查星星.|x|~α(1≤α<2)在调整的正切节点组的有理逼近[J].工程数学学报,2019,36(5):551-556. 被引量：3

1XiaMao.ON LAGRANGE INTERPOLATION TO |x|α(1 < α < 2) WITH EQUALLY SPACED NODES[J].Analysis in Theory and Applications,2004,20(3):281-287. 被引量：8
2Laiyi Zhu and Zhiyong Huang School of Information People’s University of China Beijing, 100872P. R. China.ON LAGRANGE INTERPOLATION FOR |X|~α (0 < α < 1)[J].Analysis in Theory and Applications,2009,25(1):16-24. 被引量：1
3Laiyi Zhu.APPROXIMATION PROPERTIES OF LAGRANGE INTERPOLATION POLYNOMIAL BASED ON THE ZEROS OF (1-x^2)cosnarccosx[J].Analysis in Theory and Applications,2006,22(2):183-194.
4Lu Zhikang and Xia Mao (Hangzhou Teacher’s College, China)Department of Mathematics Hangzhou Teacher’s College Hangzhou,310012 P.R.China.THE DIVERGENCE OF LAGRANGE INTERPOLATION IN EQUIDISTANT NODES[J].Analysis in Theory and Applications,2003,19(2):160-165. 被引量：5
5Zhikang Lu,Xifang Ge.THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~a[J].Analysis in Theory and Applications,2005,21(4):385-394. 被引量：2
6罗恩,黄伟江,张贺忻.Unconventional Hamilton-type variational principle in phase space and symplectic algorithm[J].Science China(Physics,Mechanics & Astronomy),2003,46(3):248-258. 被引量：5
7陆念力,王佳.A New Non-uniform Beam Element and Its Application to Buckling Analysis for Framed Structures[J].Journal of Donghua University(English Edition),2012,29(2):111-114.

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