On rational functions of the best nonsymmetric approximations in integral metrics

  • O. V. Polyakov Днепропетр. нац. ун-т
  • N. O. Ruchaevskaya Днепропетр. нац. ун-т

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.
Published
25.11.2012
How to Cite
PolyakovO. V., and RuchaevskayaN. O. “On Rational Functions of the Best Nonsymmetric Approximations in Integral Metrics”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 11, Nov. 2012, pp. 1575-7, http://umj.imath.kiev.ua/index.php/umj/article/view/2683.
Section
Short communications