有界变化连续函数的一致逼近

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342146

N. Y. Dodonov, V. V. Zhuk

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引用次数: 0

摘要

利用在多维矩形网格节点处已知函数值的基础上构造的求和型聚集体，研究了在Banach空间中有界变分的连续函数与有界变分函数的一致逼近问题。用连续模量对精度进行了评定。

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Uniform approximation of continuous functions of bounded variation by aggregates of summatory type

Questions of uniform approximation of continuous functions of bounded variation on ℝn with the values in the Banach space are being studied by aggregates of summatory type constructed on the basis of the known function values at the nodes of a multidimensional rectangular mesh. The appraisal of accuracy is executed by means of the modulus of continuity.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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