2017
Том 69
№ 9

All Issues

On rational functions of the best nonsymmetric approximations in integral metrics

Polyakov O. V., Ruchaevskaya N. O.

Full text (.pdf)


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.

Full text