Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3479

 Title: Summability Methods in Weighted Approximation to Derivatives of Functions Authors: Küçük, NisaDuman, Oktay Keywords: Summability processweighted approximationalmost convergenceCesàro method Issue Date: 2015 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 41, No 4, (2015), 355p-368p 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 Cesàro method) although it is impossible in the usual sense. Some graphical illustrations are also provided. 2010 Mathematics Subject Classification: 41A30, 42B08, 47B38. URI: http://hdl.handle.net/10525/3479 ISSN: 1310-6600 Appears in Collections: Volume 41, Number 4

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