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Title: Summability methods in weighted approximation to derivatives of functions
Authors: Duman, Oktay
Küçük, Nisa
Issue Date: Apr-2015
Publisher: Bulgarian Academy of Sciences Institute of Mathematics and Informatics
Source: Küçük, N., & Duman, O. (2015). Summability methods in weighted approximation to derivatives of functions. Serdica Math. J, 41, 335-368.
Abstract: In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence in the approximation. To support this idea, at the end of the paper, we will give a sequence of positive linear operators obeying the arithmetic mean approximation (or, approximation with respect to the Ces`aro method) although it is impossible in the usual sense. Some graphical illustrations are also provided.
ISSN: 1310-6600
Appears in Collections:Matematik Bölümü / Department of Mathematics

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