On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant

Paulina Pych-Taberska, and Harun Karsli. "On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant." Commentationes Mathematicae 49.2 (2009): null. <http://eudml.org/doc/291406>.

@article{PaulinaPych2009,
abstract = {In the present paper we consider the Bézier variant of Chlodovsky-Kantorovich operators $K_\{n−1,\alpha \} f$ for functions $f$ measurable and locally bounded on the interval $[0,\infty )$. By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of $K_\{n−1,\alpha \} f (x)$ at those $x 0$ at which the one-sided limits $f (x+)$, $f(x-)$ exist.},
author = {Paulina Pych-Taberska, Harun Karsli},
journal = {Commentationes Mathematicae},
keywords = {rate of convergence; Chlodovsky-Kantorovich operator; Bézier basis; Chanturiya’s modulus of variation; $p$th power variation},
language = {eng},
number = {2},
pages = {null},
title = {On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant},
url = {http://eudml.org/doc/291406},
volume = {49},
year = {2009},
}

TY - JOUR
AU - Paulina Pych-Taberska
AU - Harun Karsli
TI - On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant
JO - Commentationes Mathematicae
PY - 2009
VL - 49
IS - 2
SP - null
AB - In the present paper we consider the Bézier variant of Chlodovsky-Kantorovich operators $K_{n−1,\alpha } f$ for functions $f$ measurable and locally bounded on the interval $[0,\infty )$. By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of $K_{n−1,\alpha } f (x)$ at those $x 0$ at which the one-sided limits $f (x+)$, $f(x-)$ exist.
LA - eng
KW - rate of convergence; Chlodovsky-Kantorovich operator; Bézier basis; Chanturiya’s modulus of variation; $p$th power variation
UR - http://eudml.org/doc/291406
ER -