一类推广的Kantorovich算子的线性组合在Orlicz空间内的逼近 |
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引用本文: | 邓雪莉,吴嘎日迪.一类推广的Kantorovich算子的线性组合在Orlicz空间内的逼近[J].宝鸡文理学院学报(自然科学版),2013,33(2):5-8. |
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作者姓名: | 邓雪莉 吴嘎日迪 |
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作者单位: | 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022;内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022 |
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基金项目: | 国家自然科学基金资助项目(11161033);内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-036) |
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摘 要: | 目的讨论一类推广的Kantorovich算子的线性组合在Orlicz空间内的逼近问题。方法利用了光滑模和K-泛函等工具。结果对这一类推广的Kantorovich算子的线性组合的范数等进行讨论,得到了相应的性质。结论得到了该组合算子在Orlicz空间内的收敛阶的估计。
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关 键 词: | 推广的Kantorovich算子 线性组合 Orlicz空间 逼近性质 |
The approximation of a kind of linear combination of generalized Kantorovich operator in Orlicz spaces |
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Institution: | DENG Xue-li, WU Garidi (College of mathematics Science, Inner Mongolia Normal University, Hohhot 010022, Inner Mongolia, China) |
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Abstract: | Objective-To study the approximation problem of a kind of linear combination of gen-eralized Kantorovich operator in Orlicz spaces. Methods-Such tools like K-functional and modulus of smoothness are used. Results-Through investigating the norm of a linear combination of the general-ized Kantorovich operator, some related properties are obtained. Conclusion-The convergence order of the combination operator in Orlicz spaces is gained. |
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Keywords: | extension Kantorovich operator linear combination Orlicz spaces approximationproperty |
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