Approximation properties for modified (p, q)-Bernstein-Durrmeyer operators

Title:

Approximation properties for modified (p, q)-Bernstein-Durrmeyer operators

Creator:

Mursaleen, Mohammad and Alabied, Ahmed A. H.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c03dac08-cf11-497e-973b-b9f96d8f5d04
uuid:c03dac08-cf11-497e-973b-b9f96d8f5d04
doi:10.21136/MB.2017.0086-16

Subject:

(p, q)-integer, (p, q)-Bernstein-Durrmeyer operator, q-Bernstein-Durrmeyer operator, modulus of continuity, positive linear operator, and Korovkin type approximation theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We introduce modified (p, q)-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators D∗ n,p,q and compute the rate of convergence for the function f belonging to the class LipM(γ).

Language:

English

Rights:

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

Coverage:

173-188

Source:

Mathematica bohemica | 2018 Volume:143 | Number:2

Harvested from:

CDK

Metadata only:

false