| 和型积分算子在向量值函数逼近中的应用 |
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| 引用本文： | 邸继征.和型积分算子在向量值函数逼近中的应用[J].大连理工大学学报,1989,29(4):381-388. |
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| 作者姓名： | 邸继征 |
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| 作者单位： | 大连理工大学应用数学系 |
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| 摘 要： | 给出一类和型及和型积分算子的构造法，对ｎ元向量值连续函数建立了这类算子的逼近定理，并给出了逼近的量化估计。特别，由所得的主要结果给出ｎ元 Ｃ０类算子半群的表示公式。
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| 关 键 词： | 和型积分算子 向量值函数 算子逼近 |
Application of Sum-Integral Type Operators to Approximation of Vector-Valued Functions |
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| Di Ji-zheng.Application of Sum-Integral Type Operators to Approximation of Vector-Valued Functions[J].Journal of Dalian University of Technology,1989,29(4):381-388. |
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| Authors: | Di Ji-zheng |
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| Abstract: | A method of constructing a class of sum-type and sum-integral type opera- tors is introduced. For n-dimensional vector-valued functions, approximation and relative estimation theorems of these operators are given. The author also uses the main results to construct representation formulas of the n-dimensional semi-groups of operators of (C0) class. |
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| Keywords: | semi-group of operators of (C0) class vector-valued function Bochner integral approximation by operators/sum-type operator sum-integral type operator |
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