Generalized (p,q)-Bleimann-Butzer-Hahn operators and some approximation results

The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using ( p , q ) -integers which is based on a continuously differentiable function μ on [ 0 , ∞ ) = R + . We establish the Korovkin type approximation results and compute the degree of approximation by us...

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Bibliographic Details
Published in:Journal of inequalities and applications 2017-12, Vol.2017 (1), p.1-14, Article 310
Main Authors: Mursaleen, M, Nasiruzzaman, Md, Ansari, Khursheed J, Alotaibi, Abdullah
Format: Article
Language:English
Subjects:
( p , q ) $(p,q)$ -Bernstein operators
( p , q ) $(p,q)$ -Bleimann-Butzer-Hahn operators
( p , q ) $(p,q)$ -integers
Analysis
Applications of Mathematics
Approximation
Integers
Mathematical analysis
Mathematics
Mathematics and Statistics
modulus of continuity
Operators (mathematics)
q-Bleimann-Butzer-Hahn operators
rate of approximation
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Summary:The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using ( p , q ) -integers which is based on a continuously differentiable function μ on [ 0 , ∞ ) = R + . We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-017-1582-x