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. The authors have recently investigated(') the following problem. Let S be a closed point set interior to the region R. To study approximation on S to a function f(z) analytic on S but not analytic throughout R by functions fM(z) required to be analytic and in modulus not greater than M in R. For the functions fM(z) of best approximation to f(z) on S, defined for every positive M, under suitable conditions the expression

On functions analytic in a region: approximation in the sense of least 𝑝th powers