Title
Degree of approximation for bivariate extension of Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators.
Abstract
In this paper, we introduce the bivariate generalization of the Chlodowsky-type q-BernsteinStancuKantorovich operators on an unbounded domain and studied the rate of convergence in terms of the Lipschitz class function and complete modulus of continuity. Further, we establish the weighted approximation properties for these operators. The aim of this paper is to obtain the degree of approximation for these bivariate operators in terms of the partial moduli of continuity and the Peetres K- functional. Then, we give generalization of the operators and investigate their approximations. Furthermore, we show the convergence of the bivariate Chlodowsky-type operators to certain functions by illustrative graphics using Python programming language. Finally, we construct the GBS operators of bivariate Chlodowsky-type q-BernsteinStancuKantorovich and estimate the rate of convergence for these operators with the help of mixed modulus of smoothness.
Year
DOI
Venue
2017
10.1016/j.amc.2017.02.007
Applied Mathematics and Computation
Keywords
DocType
Volume
q-Bernstein–Stancu–Kantorovich operators,Partial moduli of continuity,Weighted approximation,B-continuous,B-differentiable,GBS operators
Journal
306
Issue
ISSN
Citations 
C
0096-3003
2
PageRank 
References 
Authors
0.44
2
3
Name
Order
Citations
PageRank
Behar Baxhaku120.44
Purshottam Narain Agrawal220.78
AgrawalPurshottam Narain320.44