The generalization of some results for Schurer and Schurer-Stancu operators
In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators.
Dan Miclăuş
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Bivariate tensor product ( p , q ) $(p, q)$ -analogue of Kantorovich-type Bernstein-Stancu-Schurer operators [PDF]
In this paper, we construct a bivariate tensor product generalization of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of ( p , q ) $(p, q)$ -integers.
Qing-Bo Cai, Xiao-Wei Xu, Guorong Zhou
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THE KANTOROVICH FORM OF SCHURER-STANCU OPERATORS [PDF]
Summary: Considering the given integer \(p\geq 0\) and the given real parameters \(\alpha,\beta\), satisfying \(0\leq\alpha\leq\beta\), in ([7]) was constructed the Schurer-Stancu type operator \(\widetilde S_{m, p}^{(\alpha,\beta)}:C([0,1+p])\to C([0,1])\) defined for any \(f\in C([0,1 +p])\) and any \(m\in\mathbb{N}\) by \[ \bigl( \widetilde S_{m,p}^{
Dan Bărbosu
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Bivariate Bernstein–Schurer–Stancu type GBS operators in ( p , q ) $(p,q)$ -analogue [PDF]
The purpose of this paper is to construct a ( p , q ) $(p,q)$ -analogue of Bernstein–Schurer–Stancu type GBS (generalized Boolean sum) operators for approximating B-continuous and B-differentiable functions.
M. Mursaleen, Mohd. Ahasan, K. J. Ansari
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On approximation properties of Baskakov–Schurer–Szász operators [PDF]
In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study $q$-analogues of Baskakov-Schurer-Szász operators and it'
Vishnu Narayan Mishra, Preeti Sharma
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On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations [PDF]
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations.
Jun-Jie Quan +4 more
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On boundedness inequalities in the variation of certain Schurer-type operators; pp. 1–9 [PDF]
This paper is concerned with boundedness inequalities in the variation for the higher order derivatives of general Schurertype operators. In particular, the boundedness inequalities in the variation for the higher order derivatives of the Bernsteinâ ...
Andi Kivinukk, Tarmo Metsmägi
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Approximation by α-Bernstein-Schurer-Stancu operators [PDF]
The authors introduce a family of generalized Bernstein-Schurer-Stancu operators, depending on a non-negative real parameter $\alpha$. Several known sequences of positive linear operators are particular members of this family. The approximation properties of the new operators are investigated.
Nursel Çetіn, Ana Maria Acu
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King type modification of q-Bernstein-Schurer operators [PDF]
For a King-type modification of \(q\)-Bernstein-Schurer operators, some estimations of the rate of convergence are established. A Voronovskaja-type asymptotic formula is also obtained for these operators.
Mei-Ying Ren, Xiaoming Zeng
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A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers [PDF]
Agrawal et al. (Boll. Unione Mat. Ital. 8:169-180, 2015) introduced a Stancu-type Kantorovich modification of the operators proposed by Ren and Zeng (Bull. Korean Math. Soc.
Ruchi Chauhan +2 more
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