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Best uniform approximation by 𝔎-superharmonic functions

 

作者: J. Heinonen,   D. Zwick,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1992）
卷期: Volume 13, issue 1-2  

页码: 1-10

 

ISSN:0163-0563

 

年代: 1992

 

DOI:10.1080/01630569208816457

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Let 𝔎 be a sheaf of continuous real-valued functions on a domain. If 𝔎 satisfies the axioms for a nonlinear potential theory, then we call the elements of 𝔎(U) forU⊂Ω open𝔎-harmonic onU.We define the class 𝔖(U) of 𝔎-superharmonic functions onUand characterize best uniform approximations to continuous functions by elements of 𝔖(U) ∩C(Ʉ).

 

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