[图书][B] Moments of linear positive operators and approximation

V Gupta, MT Rassias - 2019 - Springer
Moments of Linear Positive Operators and Approximation deals with several problems
concerning positive linear operators. In Chaps. 1 and 2, we present—without proofs—a …

Statistical approximation by -analogue of Bernstein-Stancu Operators

A Khan, V Sharma - arXiv preprint arXiv:1604.05339, 2016 - arxiv.org
In this paper, some approximation properties of $(p, q) $-analogue of Bernstein-Stancu
Operators has been studied. Rate of statistical convergence by means of modulus of …

Local approximation by a variant of Bernstein–Durrmeyer operators

U Abel, V Gupta, RN Mohapatra - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
This paper deals with the local approximation properties of a certain variant M˜ n of the
Bernstein–Durrmeyer operators. Firstly, we obtain an estimate on the rate of convergence of …

The generalization of Meyer-König and Zeller operators by generating functions

A Altın, O Doğru, F Taşdelen - Journal of mathematical analysis and …, 2005 - Elsevier
In this paper, theorems are proved concerned with some approximation properties of
generating functions type Meyer-König and Zeller operators with the help of a Korovkin type …

Parametric generalization of the Meyer-König-Zeller operators

M Sofyalıoğlu, K Kanat, B Çekim - Chaos, Solitons & Fractals, 2021 - Elsevier
The current paper deals with the parametric modification of Meyer-König-Zeller operators
which preserve constant and Korovkin's other test functions in the form of (x 1− x) u, u= 1, 2 …

Asymptotic approximation with Kantorovich polynomial

U Abel - Approximation Theory and its Applications, 1998 - Springer
We present the complete asymptotic expansion for the Kantorovich polynomials K n as
n→∞. The result is in a form convenient for applications. All coefficients of n− k (k= 1, 2,...) …

The complete asymptotic expansion for the Meyer-König and Zeller operators

U Abel - Journal of Mathematical Analysis and Applications, 1997 - Elsevier
The Complete Asymptotic Expansion for the Meyer-Konig and Zeller Operators Page 1 Ž .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 208, 109119 1997 ARTICLE …

Parametric generalization of the q-Meyer–König–Zeller operators

M Kara, MA Özarslan - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we introduce α parametric generalization of the Meyer–König–Zeller operators
based on q-integer, which provides better error estimation then the usual q-MKZ operators …

The Durrmeyer variant of an operator defined by DD Stancu

U Abel, M Ivan, R Păltănea - Applied Mathematics and Computation, 2015 - Elsevier
In 1984 DD Stancu defined a sequence of positive linear operators generalizing the
Bernstein polynomials. In this paper a Durrmeyer variant of these operators is considered …

Asymptotic expansion of the multivariate Bernstein polynomials on a simplex

U Abel, M Ivan - 2000 - publikationsserver.thm.de
In this note we study the local behaviour of the multi-variate Bernstein polynomials on a d-
dimensional simplex S. For functions f admitting derivatives of sufficient high order in a point …