Geodesic
Rational approximation of Markov functions generated by Borelean power-type measures
Problemy fiziki, matematiki i tehniki, no. 1 (2009), pp. 69-73

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Asymptotic behavior of Pade table rows for Markov functions $\widehat{\mu}(z)$ generated by Borelean power-type measures is found. This enabled us to find sharp decreasing orders of the best approximations of $\widehat{\mu}(z)$ by rational functions with fixed number of poles. The obtained theorems supplement the known results of A.A. Gonchar, T. Ganelius, H. Stahl, D. Braess, A.A. Pekarskii, E.A. Rovba dealing with research of approximating properties of Markov functions.
Keywords: Markov function, rational approximations, best approximations in the uniform norm.
Mots-clés : Pade approximants, polynomial approximations 
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     author = {A. P. Starovoitov and Yu. A. Labych},
     title = {Rational approximation of {Markov} functions generated by {Borelean} power-type measures},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2009_1_a10/}
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A. P. Starovoitov; Yu. A. Labych. Rational approximation of Markov functions generated by Borelean power-type measures. Problemy fiziki, matematiki i tehniki, no. 1 (2009), pp. 69-73. http://geodesic.mathdoc.fr/item/PFMT_2009_1_a10/