1. Approximation properties for modified (p, q)-Bernstein-Durrmeyer operators
- Creator:
- Mursaleen, Mohammad and Alabied, Ahmed A. H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- (p, q)-integer, (p, q)-Bernstein-Durrmeyer operator, q-Bernstein-Durrmeyer operator, modulus of continuity, positive linear operator, and Korovkin type approximation theorem
- Language:
- English
- 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).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public