Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions

Title:

Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions

Creator:

Gonska, Heiner and Păltănea, Radu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ae2264af-b743-40fb-ab7e-a23a4caf2c7f
uuid:ae2264af-b743-40fb-ab7e-a23a4caf2c7f

Subject:

positive linear operator, Bernstein-type operator, genuine Bernstein-Durrmeyer operator, simultaneous approximation, degree of approximation, and moduli of continuity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

783-799

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:3

Harvested from:

CDK

Metadata only:

false