| Orlicz空间中K—泛函与光滑模的等价性及其应用 |
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| 引用本文： | 吴嘎日迪. Orlicz空间中K—泛函与光滑模的等价性及其应用[J]. 内蒙古师范大学学报(自然科学版), 1989, 0(1): 16-22 |
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| 作者姓名： | 吴嘎日迪 |
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| 作者单位： | 内蒙古师大数学系 |
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| 摘 要： | 早在本世纪60年代,J·PEETRE 在L_p 空间中引入了K-泛函的概念,并证得K-泛函与高阶连续模的等价性.这一等价性命题在逼近论中起着重要的作用.本文用类似的方法在Orlicz 空间L_M~* 中引进K-泛函与高阶连续模(即光滑模)的概念,并证得它们之间的等价性.
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| 关 键 词： | Orlicz 空间 逼近 K-泛函 光滑模 |
The Equivalence of the K-functional and Modulus of Smoothness in Orlicz Spaces and its Applications |
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| Wu Garidi. The Equivalence of the K-functional and Modulus of Smoothness in Orlicz Spaces and its Applications[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 1989, 0(1): 16-22 |
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| Authors: | Wu Garidi |
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| Affiliation: | Department of Mathematics |
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| Abstract: | As we know,the equivalence of the K-functional and modulus ofsmoothness in L_p spaces have solved by J.Peetre.In this paper,we provedthe equivalence of the K-functional and modulus of smoothness in Orliczspaces. |
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| Keywords: | Orlicz spaces approximation K-functional modulus of smoothness |
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