@Article{ATA-29-2,
author = {Lian, Hai,  and Wu, Garidi},
title = {On Approximation by Reciprocals of Polynomials with Positive Coefficients},
journal = {Analysis in Theory and Applications},
year = {2013},
volume = {29},
number = {2},
pages = {149--157},
abstract = {<p style="text-align: justify;">In order to study the approximation by reciprocals of polynomials with real coefficients, one always assumes that the approximated function has a fixed sign on the given interval. Sometimes, the approximated function is permitted to have finite sign changes, such as $l(l\geq1)$ times. Zhou Songping has studied the case $l=1$ and $l\geq2$ in $L^{p}$ spaces in order of priority. In this paper, we studied the case $l\geq2$ in Orlicz spaces by using the function extend, modified Jackson kernel, Hardy-Littlewood maximal function, Cauchy-Schwarz inequality, and obtained the Jackson type estimation.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2013.v29.n2.6},
url = {https://global-sci.com/article/74027/on-approximation-by-reciprocals-of-polynomials-with-positive-coefficients}
}