| 凸性和Schoenberg变差减缩样条 |
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| 引用本文： | 冯玉瑜 库扎克. 凸性和Schoenberg变差减缩样条[J]. 中国科学技术大学学报, 1994, 24(2): 129-134 |
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| 作者姓名： | 冯玉瑜 库扎克 |
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| 作者单位： | 中国科技大学，斯洛文尼亚罗布尔雅娜大学 |
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| 摘 要： | 本文用特殊的变差减缩样条序列的单调性来刻划凸函数的特征，它推广了所熟知的关于伯恩斯坦多项式序列的结果。
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| 关 键 词： | 伯恩斯坦多项式，变差减缩样条，凸函数，升阶，强中心性 |
On Convexity and Schoenberg''s Variation Diminishing Splines |
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| Peng Yuyu. On Convexity and Schoenberg''s Variation Diminishing Splines[J]. Journal of University of Science and Technology of China, 1994, 24(2): 129-134 |
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| Authors: | Peng Yuyu |
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| Abstract: | n this peper a convex function is characterized by the monotonicity of a Particular varistion diminisning spline sequence. The result extends the property known for theBerstein POlynomial sequence. |
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| Keywords: | Bernstein polynomial variation diminishing spline convex function degree elevation strong centeredness. |
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