2017
Том 69
№ 9

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Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors

Gilewicz J.

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Abstract

We present the history of inequalities for Padé approximant errors in the Stieltjes case. Inequalities optimal in order are obtained for these approximants by using results of J. Vinuesa and A. P. Magnus.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 1031-1034.

Citation Example: Gilewicz J. Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 941–943.

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