Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators

2020 ◽  
Vol 35 (4) ◽  
pp. 468-478
Author(s):  
Qing-bo Cai ◽  
Ülkü Dinlemez Kantar ◽  
Bayram Çekim
Keyword(s):  
Approximation Properties ◽  
Stancu Operators

scholarly journals The (p; q)-Bernstein-Stancu operator of rough statistical convergence on triple sequence

2019 ◽  
Vol 38 (7) ◽  
pp. 125-136
Author(s):  
Ayhan Esi ◽  
M. Kemal Ozdemir ◽  
Nagarajan Subramanian
Keyword(s):  
Error Bound ◽  
Modulus Of Continuity ◽  
Statistical Convergence ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Stancu Operators

In the paper, we investigate rough statistical approximation properties of (p; q)-analogue of Bernstein-Stancu Operators. We study approximation properties based on rough statistical convergence. We also study error bound using modulus of continuity.

scholarly journals Statistical Approximation ofq-Bernstein-Schurer-Stancu-Kantorovich Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Qiu Lin
Keyword(s):  
Modulus Of Continuity ◽  
Statistical Convergence ◽  
Lipschitz Class ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Stancu Operators ◽  
Kantorovich Operators

We introduce two kinds of Kantorovich-typeq-Bernstein-Schurer-Stancu operators. We first estimate moments ofq-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of these operators by means of modulus of continuity and the functions of Lipschitz class.

scholarly journals Approximation properties of Jain-Stancu operators

Filomat ◽  
2016 ◽  
Vol 30 (4) ◽  
pp. 1081-1088 ◽  
Author(s):  
Mehmet Özarslan
Keyword(s):  
Asymptotic Expansion ◽  
Error Estimation ◽  
Modulus Of Continuity ◽  
Weighted Approximation ◽  
Linear Functions ◽  
Approximation Properties ◽  
Stancu Operators ◽  
Lagrange Expansion ◽  
Preserve Linear

In the present paper, we introduce the Stancu type Jain operators, which generalize the wellknown Sz?sz-Mirakyan operators via Lagrange expansion. We investigate their weighted approximation properties and compute the error of approximation by using the modulus of continuity. We also give an asymptotic expansion of Voronovskaya type. Finally, we introduce a modified form of our operators, which preserves linear functions, provides a better error estimation than the Jain operators and allows us to give global results in a certain subclass of C[0,?). Note that the usual Jain operators do not preserve linear functions and the global results in a certain subspace of C[0,?) can not be given for them.

scholarly journals Some Approximation Properties of q-Baskakov-Beta-Stancu Type Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Kejal Khatri ◽  
Lakshmi Narayan Mishra
Keyword(s):  
Approximation Properties ◽  
Stancu Operators ◽  
Asymptotic Formulae ◽  
New Type ◽  
Error Estimations

This paper deals with new type q-Baskakov-Beta-Stancu operators defined in the paper. First, we have used the properties of q-integral to establish the moments of these operators. We also obtain some approximation properties and asymptotic formulae for these operators. In the end we have also presented better error estimations for the q-operators.

scholarly journals Approximation properties of q-Baskakov-Durrmeyer-Stancu operators

2013 ◽  
Vol 7 (1) ◽  
pp. 38 ◽  
Author(s):  
Vishnu Mishra ◽  
Prashantkumar Patel
Keyword(s):  
Approximation Properties ◽  
Stancu Operators
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