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

• Autorzy: Paulina Pych-Taberska , Harun Karsli
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

rate of convergence; Chlodovsky-Kantorovich operator; Bézier basis; Chanturiya’s modulus of variation; \(p\)th power variation

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: 49
• Numer: 2

Daty

wydano

2009

online

2017-12-19

Twórcy

autor

Paulina Pych-Taberska

autor

Harun Karsli

Identyfikatory

DOI

10.14708/cm.v49i2.5295