Results 51 to 60 of about 135 (107)

Voronovskaja-type theorems for a certain non-positive linear operator

Journal of Numerical Analysis and Approximation Theory, 1986
The paper deals with some Voronovskaya-type theorems for the following non-positive pseudopolynomial linear operator in two variables considered by the first author [An. Univ. Craiova, Ser. A V-A 2, 43-54 (1974; Zbl 0304.41005)]: \[ P_ n(f;x,y)=()\sum^{n}_{i=0}\{f(x,i/n)+f(i/n,y)- f(i/n,i/n)\}\{p_{n,i}(x)+p_{n,i}(y)\} \] where \(p_{n,i}(x)=\left ...
Ion Badea, Dorin Andrica
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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

Advances in Difference Equations, 2020
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
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Voronovskaja Type Approximation Theorem For q-Szasz-Beta-Stancu Type Operators

, 2015
In this paper, we study on 𝑞 −analogue of Szász-Beta-Stancu type operators. We give a Voronovskaja type theoremfor 𝑞 - Szász-Beta-Stancu type operators. 
Dinlemez, Ülkü, Yüksel, İsmet
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Voronovskaja type theorem for the Lupaş q-analogue of the Bernstein operators

Mathematical Communications, 2012
In this paper, we estimate the third and the fourth order central moments for the difference of the Lupaş q-analogue of the Bernstein operator and the limit q-Lupaş operator. We also prove a quantitative variant of Voronovskaja's theorem for $R_{n,q}$.
Mahmudov, Nazim Idrisoglu, Sabancigil, Pembe   +1 more
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On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators

Journal of Function Spaces, 2018
We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form. We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish ...
Lian-Ta Shu, Guorong Zhou, Qing-Bo Cai
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The generalization of some results for Schurer and Schurer-Stancu operators

Journal of Numerical Analysis and Approximation Theory, 2011
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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Voronovskaja-type theorem for certain GBS operators

Glasnik matematički, 2008
In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive operator.
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Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

Axioms, 2019
Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava, Gürhan İçöz, Bayram Çekim   +2 more
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On certain q-Baskakov-Durrmeyer operators

Le Matematiche, 2011
In this paper we introduce a q−analogue of Baskakaov-beta operators. We establish Voronovskaja-type theorem and obtain local error estimates by these q−operators in uniform norm by using the Ditzian-Totik weighted modulus of smoothness for 0 < q < ...
Asha R. Gairola, Girish Dobhal, Karunesh Kumar Singh   +2 more
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Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials

Journal of Inequalities and Applications
This article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
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