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 L-p-approximation. (C) 2022 Elsevier Inc. All rights reserved.
Approximation to Integrable Functions by Modified Complex Shepard Operators / Duman, Oktay; DELLA VECCHIA, Biancamaria. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 512:2(2022), p. 126161. [10.1016/j.jmaa.2022.126161]
Approximation to Integrable Functions by Modified Complex Shepard Operators
Biancamaria Della Vecchia
2022
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 L-p-approximation. (C) 2022 Elsevier Inc. All rights reserved.| File | Dimensione | Formato | |
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