Approximation by quaternion (p,q) $(p,q)$-Bernstein polynomials and Voronovskaja type result on compact disk

Approximation by quaternion (p,q) $(p,q)$-Bernstein polynomials and Voronovskaja type result on compact disk

Abstract In this paper, we define the (p,q) $(p,q)$-Bernstein polynomials of degree m of a quaternion variable. We obtain some approximation results, and also the Voronovskaja type result with quantitative upper estimates is proved.

Bibliographic Details
Main Authors: Haifa Bin Jebreen, Mohammad Mursaleen, Ambreen Naaz
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Advances in Difference Equations
Subjects:
Quaternion
( p , q ) $(p,q)$ -Bernstein-polynomials
Order of approximation
Analytic functions
Voronovskaja type results
Compact disk
Online Access:http://link.springer.com/article/10.1186/s13662-018-1906-2

Internet

http://link.springer.com/article/10.1186/s13662-018-1906-2

Similar Items