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https://hdl.handle.net/20.500.11851/8547| Title: | Approximation to integrable functions by modified complex Shepard operators | Authors: | Duman, Oktay Della Vecchia B. |
Keywords: | Approximation in the complex plane Cesàro summability Kantorovich operators Matrix summabiliy methods Shepard operators |
Publisher: | Academic Press Inc. | Source: | Duman, O., & Della Vecchia, B. (2022). Approximation to integrable functions by modified complex Shepard operators. Journal of Mathematical Analysis and Applications, 512(2), 126161. | Abstract: | In this paper, we introduce the Kantorovich version of complex Shepard operators in order to approximate functions whose pth powers are integrable on the unit square. We also give an application which explains why we need such operators. Furthermore, we study the effects of some regular summability methods on this Lp-approximation. © 2022 Elsevier Inc. | URI: | https://doi.org/10.1016/j.jmaa.2022.126161 https://hdl.handle.net/20.500.11851/8547 |
ISSN: | 0022-247X |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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