- Tytuł:
- On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant
- Autorzy:
-
Pych-Taberska, Paulina
Karsli, Harun - Powiązania:
- https://bibliotekanauki.pl/articles/746530.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
rate of convergence
Chlodovsky-Kantorovich operator
Bézier basis
Chanturiya’s modulus of variation
\(p\)th power variation - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2009, 49, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł