Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators

Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators

Abstract This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case. Also, some numerical examples based on Maple algorithms that veri...

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Bibliographic Details
Main Authors: Shin Min Kang, Arif Rafiq, Ana-Maria Acu, Faisal Ali, Young Chel Kwun
Format: Article
Language:English
Published: SpringerOpen 2016-06-01
Series:Journal of Inequalities and Applications
Subjects:
( p , q ) $(p,q)$ -Bernstein operators
( p , q ) $(p,q)$ -calculus
Voronovskaja type theorem
K-functional
Ditzian-Totik first order modulus of smoothness
Online Access:http://link.springer.com/article/10.1186/s13660-016-1111-3

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http://link.springer.com/article/10.1186/s13660-016-1111-3

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