Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 4 : pp. 297–305
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2018-0003
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 4 : pp. 297–305
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Real and complex Post-Widder type operator overconvergence phenomenon approximation estimate Voronovskaya-type result exact error estimation.