The sharpness of convergence results for $q$-Bernstein polynomials in the case $q>1$

Title:

The sharpness of convergence results for $q$-Bernstein polynomials in the case $q>1$

Creator:

Ostrovska, Sofiya

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ef380a66-cc60-437e-ad1c-74eb05c1cf9c
uuid:ef380a66-cc60-437e-ad1c-74eb05c1cf9c

Subject:

$q$-integers, $q$-binomial coefficients, $q$-Bernstein polynomials, uniform convergence, analytic function, and Cauchy estimates

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Due to the fact that in the case $q>1$ the $q$-Bernstein polynomials are no longer positive linear operators on $C[0,1],$ the study of their convergence properties turns out to be essentially more difficult than that for $q<1.$ In this paper, new saturation theorems related to the convergence of $q$-Bernstein polynomials in the case $q>1$ are proved.

Language:

English

Rights:

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

Coverage:

1195-1206

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:4

Harvested from:

CDK

Metadata only:

false