| 雅可比展开的黎斯算子和K泛函 |
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| 引用本文： | 陈守银.雅可比展开的黎斯算子和K泛函[J].湖北大学学报(自然科学版),1998,20(3):212-215. |
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| 作者姓名： | 陈守银 |
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| 作者单位： | 湖北大学经济学院 |
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| 摘 要： | 讨论了雅可比展开的黎斯算子的若干逼近性质。建立了黎斯算子与Ｋ泛函之间的强渐近等价关系，引进黎斯算子的迭代算子，从而用以实现Ｋ泛函收敛阶的刻划，并且用于代数多项式加权最佳逼近的逼近阶描述。
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| 关 键 词： | 雅可比展开 黎斯算子 K泛函 逼近 光滑函数 |
Kfunctional and Riesz Operator for Jacobi Expansions |
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| Chen Shouyin.Kfunctional and Riesz Operator for Jacobi Expansions[J].Journal of Hubei University(Natural Science Edition),1998,20(3):212-215. |
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| Authors: | Chen Shouyin |
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| Abstract: | The paper deals with the convegence of Riesz operators for Jacobi expansions. The equivalence between Riesz operators and K functionals is established. It is proved that the iterations of Riesz operators can serve as a realization of the K functionals. The results obtained in the paper are also applied to describe the order of best approximation by algebraic polynomials with weights. |
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| Keywords: | Jacobi expansion Riesz operator K functional |
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