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Szász-Kantorovich算子的保形性质 被引量:3

SHAPE PRESERVING PROPERTIES OF THE SZSZ-KANTOROVICH OPERATORS
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摘要 本文讨论了Szasz-Kantorovich算子的保形问题,得到了算子在保持函数曲线几何性质方面的一系列结果.结果表明该算子在保形方面与Szasz-Mirakjan算子是有差异的. In this paper, we discuss the shape preserving properties of Sz a sz-Kantorovich operators, and about which, we obtain a series of results, which show that there are some difference between Szasz-Mirakjan and Szasz-Kantorovich operators in shape preserving properties.
作者 张春苟
出处 《应用数学学报》 CSCD 北大核心 2005年第3期497-505,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10371080号) 北京市教委资助项目(01k-101号)资助项目
关键词 Szasz-Kantorovich算子 SZASZ-MIRAKJAN算子 保形 凸性 星形性 半可加性 平均函数 Szasz-Mirakjan operators Szasz-Kantorovich operators preserving shape convexity starshape subadditivity average function
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参考文献8

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