Summability Methods in Weighted Approximation to Derivatives of Functions

Küçük, Nisa, and Duman, Oktay. "Summability Methods in Weighted Approximation to Derivatives of Functions." Serdica Mathematical Journal 41.4 (2015): 355-368. <http://eudml.org/doc/295039>.

@article{Küçük2015,
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.},
author = {Küçük, Nisa, Duman, Oktay},
journal = {Serdica Mathematical Journal},
keywords = {Summability process; weighted approximation; almost convergence; Cesàro method},
language = {eng},
number = {4},
pages = {355-368},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Summability Methods in Weighted Approximation to Derivatives of Functions},
url = {http://eudml.org/doc/295039},
volume = {41},
year = {2015},
}

TY - JOUR
AU - Küçük, Nisa
AU - Duman, Oktay
TI - Summability Methods in Weighted Approximation to Derivatives of Functions
JO - Serdica Mathematical Journal
PY - 2015
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 41
IS - 4
SP - 355
EP - 368
AB - 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.
LA - eng
KW - Summability process; weighted approximation; almost convergence; Cesàro method
UR - http://eudml.org/doc/295039
ER -