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Approximation in the mean by convex functions

 

作者: R. Huotari,   D. Zwick,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1989）
卷期: Volume 10, issue 5-6  

页码: 489-498

 

ISSN:0163-0563

 

年代: 1989

 

DOI:10.1080/01630568908816314

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We give elementary proofs for the existence and uniqueness of the best L1-approximation to a continuous function from the class of convex functions on a closed interval, and describe thebest approximation in terms of certain piecewise linear functions.

 

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