Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 67-78
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For some classes of functions $f$ locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval $[0;\infty )$, the Kantorovich type modification of the Bleimann, Butzer and Hahn operators is considered. The rate of pointwise convergence of these operators at the Lebesgue or Lebesgue-Denjoy points of $f$ is estimated.
Classification :
41A25
Keywords: Bleimann; Butzer and Hahn operator; Lebesgue-Denjoy point; rate of convergence
Keywords: Bleimann; Butzer and Hahn operator; Lebesgue-Denjoy point; rate of convergence
@article{CMUC_2008__49_1_a6,
author = {Nowak, Grzegorz},
title = {Some approximation properties of the {Kantorovich} variant of the {Bleimann,} {Butzer} and {Hahn} operators},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {67--78},
publisher = {mathdoc},
volume = {49},
number = {1},
year = {2008},
mrnumber = {2433625},
zbl = {1212.41051},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a6/}
}
TY - JOUR AU - Nowak, Grzegorz TI - Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators JO - Commentationes Mathematicae Universitatis Carolinae PY - 2008 SP - 67 EP - 78 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a6/ LA - en ID - CMUC_2008__49_1_a6 ER -
%0 Journal Article %A Nowak, Grzegorz %T Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators %J Commentationes Mathematicae Universitatis Carolinae %D 2008 %P 67-78 %V 49 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a6/ %G en %F CMUC_2008__49_1_a6
Nowak, Grzegorz. Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 67-78. http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a6/