Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性)
考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2003-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2003.30.5.485-488 |
| _version_ | 1797236407785226240 |
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| author | ZHAOYi(赵易) ZHOUSong-ping(周颂平) |
| author_facet | ZHAOYi(赵易) ZHOUSong-ping(周颂平) |
| author_sort | ZHAOYi(赵易) |
| collection | DOAJ |
| description | 考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数. |
| first_indexed | 2024-04-24T17:03:22Z |
| format | Article |
| id | doaj.art-d0c48dbe69e34b259a80212bf5442170 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:03:22Z |
| publishDate | 2003-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-d0c48dbe69e34b259a80212bf54421702024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-09-01305485488zjup/1008-9497.2003.30.5.485-488Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性)ZHAOYi(赵易)0ZHOUSong-ping(周颂平)1 1.College of Science, Hangzhou Institute of Electronics Engineering, Hangzhon 310012, China( 1.杭州电子工业学院理学院，浙江 杭州 310012) 2.Zhejiang Institute of Science & Technology, Institute of Science, Hangzhou 310018, China( 2.浙江工程学院理学院 浙江 杭州 310018)考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数.https://doi.org/zjup/1008-9497.2003.30.5.485-488grünwald插值算子hermite多项式收敛性 |
| spellingShingle | ZHAOYi(赵易) ZHOUSong-ping(周颂平) Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) Zhejiang Daxue xuebao. Lixue ban grünwald插值算子 hermite多项式 收敛性 |
| title | Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) |
| title_full | Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) |
| title_fullStr | Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) |
| title_full_unstemmed | Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) |
| title_short | Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性) |
| title_sort | convergence of grunwald interpolatory operators on the whole real line 实数轴上grunwald插值算子的收敛性 |
| topic | grünwald插值算子 hermite多项式 收敛性 |
| url | https://doi.org/zjup/1008-9497.2003.30.5.485-488 |
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