Erratum: Optimal Ray Sequences of Rational Functions Connected with the Zolotarev Problem
نویسندگان
چکیده
Proposition 1. Suppose the disjoint compacta E1' £2 are regular and), = p/q is rational. Set -r = )./(). + 1) and construct the Leja-Bagby points for the condenser (£1, E~) and corresponding rationals rn(Z) E Rnp,nq as in [1, p. 259], /fthe associated sequence {O"n}~l of signed measures defined in (7.9) of [1] coffi'erges in the weakstar sense to the signed measure jL, then jL = J1,*(-r), ~\!here .u*(-r) = .u7(-r) -J1,~(-r) is the e.11remal (equilibrium) measure given in [1, Theorem 3,1]. Consequently, the ray sequence rn (z) is as}'mptotically optimalfor the Zolotare\' problem (i.e., the limit relation fol/o\\.'ing (7.10) of [1]. holds).
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