2018
Том 70
№ 5

# On rational functions of the best nonsymmetric approximations in integral metrics

Abstract

We obtain theorems that characterize the degree of the rational function of the best $(\alpha, \beta)$ -approximation in the space $L_p$ and conditions under which the value of the best rational $(\alpha, \beta)$ -approximation is less than the best $(\alpha, \beta)$ -approximation by algebraic polynomials.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 11, pp 1780-1783.

Citation Example: Polyakov O. V., Ruchaevskaya N. O. On rational functions of the best nonsymmetric approximations in integral metrics // Ukr. Mat. Zh. - 2012. - 64, № 11. - pp. 1575-1577.

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