Lp-approximation for Shepard operators(Shepard算子的Lp-逼近)

本文考虑了Shepard算子Ln,λ(f,x)对f(x)∈Lp[0,1]的逼近阶估计。证得 (i) f(x)∈L1[0,1],那么当λ>2时有估计式 (ii) f(x)∈Lp[0,1](p>1),那么当λ>3时有估计式这里Cλ是仅与λ有关的正的常数。

Bibliographic Details
Main Authors:	XIAOWei(肖伟), ZHOUSong-ping(周颂平), ZHULai-yi(朱来义)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2000-07-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	shepard算子 lp-逼近 jackson估计
Online Access:	https://doi.org/zjup/1008-9497.2000.27.4.364-371

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