RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE

Проблемы анализа

M. A. Komarov¹ 

[1] Vladimir State University;

关键词: logarithmic derivative of a rational function;    hilbert transform;    uniform approximation;    simple partial fraction;    inequality etween different metrics;   

DOI  :  10.15393/j3.art.2021.9530

来源: DOAJ

【 摘 要 】

We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a summable Hilbert transform H f by normalized logarithmic derivatives of rational functions. Inequalities between different metrics of the logarithmic derivatives of algebraic polynomials on the line are also considered.

【 授权许可】

Unknown