TY - JOUR
T1 - Approximation by a Complex Post-Widder Type Operator
JO - Analysis in Theory and Applications
VL - 4
SP - 297
EP - 305
PY - 2018
DA - 2018/11
SN - 34
DO - http://doi.org/10.4208/ata.OA-2018-0003
UR - https://global-sci.org/intro/article_detail/ata/12843.html
KW - Real and complex Post-Widder type operator, overconvergence phenomenon, approximation estimate, Voronovskaya-type result, exact error estimation.
AB - <p style="text-align: justify;">In the present article, we deal with the so-called overconvergence phenomenon
in $\mathbb{C}$ of a slightly modified Post-Widder operator of real variable, that is with
the extension of its approximation properties from the real axis in the complex plane.
In this sense, error estimates in approximation and a quantitative Voronovskaya-type
asymptotic formula are established.</p>