A new class of modified Bernstein operators
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説明
The left Bernstein quasi-interpolant operator introduced by Sablonniere is a kind of modified Bernstein operator that has good stability and convergence rate properties. However, we recently found that it is not very convenient for practical applications. Fortunately, we showed in a previous paper that there exist many operators having stability and convergence rate properties similar to those of Sablonniere's operator. In this paper, we introduce another specific class of such operators generated from the operator introduced by Stancu. We present detailed results about this class, some of which can be applied to numerical quadrature. Finally, we clarify its advantages and assert that it is more natural and more convenient, both theoretically and practically, than that of Sablonniere. Our paper, at the same time, provides several new results regarding Stancu's operator. (C) 1999 academic Press.
収録刊行物
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- Journal of Approximation Theory
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Journal of Approximation Theory 101 (1), 121-147, 1999-11
Academic Press
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詳細情報 詳細情報について
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- CRID
- 1050856995323300224
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- NII論文ID
- 120006533211
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- HANDLE
- 20.500.14094/90005310
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- ISSN
- 00219045
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles
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