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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
Issue Date: 2022
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.
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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