修正型Lupas-Baskakov积分算子的逼近性质
On Approximation Properties of the Modified Lupas-Baskakov Integral Operators
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摘要:引入了修正型Lupas-Baskakov积分算子,它是由Lupas算子和Baskakov算子复合而得到的。通过分析和 研究修正型Lupas-Baskakov算子的性质,给出了该类算子的Vonorovskya渐近表达式,确定了此类算子的饱和阶及 平凡类,最后建立了修正型Lupas-Baskakov积分算子的饱和定理。
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关键词:
- 积分算子/
- 逼近/
- Vonorovskya表达式/
- 饱和定理
Abstract:A modified Lupas-Baskakov integral operator, which compounds Lupas operator and Baskakov operator, is introduced in this paper. By analyzing and researching the properties of the modified Lupas- Baskakov integral operators, the paperobtains theVonorovskya asymptotic formula, establishes the saturated order and trifle set of the modified Lupas-Baskakov integral operators, and then sets up the saturation theorem for this kind of operators.-
Key words:
- integral operator/
- approximation/
- Vonorovskya formula/
- saturation theorem
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