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We shall consider here the following problem. Let the region Rx of the zplane contain the points 0u, and let the function f(z) be analytic in these points. To study the convergence to f(z) of the sequence of functions gn(z); here gn(z) is analytic throughout Rx, coincides with f(z) in the points 0nl, 0n2, • • • , 0nn, and among all functions with these two properties has the least norm in Rx. This problem has been previously studied [6; 7] where norm is [lub |g"(z)|, z in A\], and is now to bedoi:10.2307/1992843 fatcat:jj3kovfkabhbln73oxqe2nfbry