Geodesic
On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant
Commentationes Mathematicae, Tome 49 (2009) no. 2, pp. 189-208.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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 \(x \gt 0\) at which the one-sided limits \(f (x+)\), \(f(x-)\) exist.
DOI : 10.14708/cm.v49i2.5295
Mots-clés : rate of convergence, Chlodovsky-Kantorovich operator, Bézier basis, Chanturiya’s modulus of variation, \(p\)th power variation 
@article{10_14708_cm_v49i2_5295,
     author = {Paulina Pych-Taberska and Harun Karsli},
     title = {On the rates of convergence of {Chlodovsky-Kantorovich} operators and their {B\'ezier} variant},
     journal = {Commentationes Mathematicae},
     pages = { 189--208},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2009},
     doi = {10.14708/cm.v49i2.5295},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v49i2.5295/}
}
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
SP  -  189
EP  - 208
VL  - 49
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v49i2.5295/
DO  - 10.14708/cm.v49i2.5295
LA  - pl
ID  - 10_14708_cm_v49i2_5295
ER  - 
%0 Journal Article
%A Paulina Pych-Taberska
%A Harun Karsli
%T On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant
%J Commentationes Mathematicae
%D 2009
%P  189-208
%V 49
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v49i2.5295/
%R 10.14708/cm.v49i2.5295
%G pl
%F 10_14708_cm_v49i2_5295
Paulina Pych-Taberska; Harun Karsli. On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant. Commentationes Mathematicae, Tome 49 (2009) no. 2, pp.  189-208. doi : 10.14708/cm.v49i2.5295. http://geodesic.mathdoc.fr/articles/10.14708/cm.v49i2.5295/

Cité par Sources :