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Original Articles

Best uniform approximation by π”Ž-superharmonic functions

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Pages 1-10 | Received 03 Jul 1991, Accepted 06 Sep 1991, Published online: 18 Nov 2011
 

Abstract

Let π”Ž be a sheaf of continuous real-valued functions on a domain . If π”Ž satisfies the axioms for a nonlinear potential theory, then we call the elements of π”Ž(U) for U βŠ‚Ξ© openπ”Ž-harmonic on U.We define the class 𝔖(U) of π”Ž-superharmonic functions on Uand characterize best uniform approximations to continuous functions by elements of 𝔖(U) ∩ C([Ubar]).

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