Results 1 to 10 of about 4,077 (248)

The approximation of bivariate functions by bivariate operators and GBS operators

Journal of Numerical Analysis and Approximation Theory, 2011
In this paper we demonstrate a general approximation theorem for the bivariate functions by bivariate operators and GBS (Generalized Boolean Sum) operators.
Ovidiu T. Pop
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Bernstein-Schurer bivariate operators

Journal of Numerical Analysis and Approximation Theory, 2004
The sequence of bivariate operators of Bernstein-Schurer is constructed and some approximation properties of this sequence are studied.
Dan Bărbosu
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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators [PDF]

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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GBS Operators of Bivariate Durrmeyer Operators on Simplex

Communications in Advanced Mathematical Sciences, 2021
We define GBS operators of Durrmeyer operators for bivariate functions on simplex and we give their approximations and rate of their approximations for B-continuous and B-differentiable functions.
Harun Çiçek, Aydın İzgi, Mehmet Ayhan   +2 more
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On the Approximation by Bivariate Szász–Jakimovski–Leviatan-Type Operators of Unbounded Sequences of Positive Numbers

Mathematics, 2023
In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
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Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators

Kuwait Journal of Science
In this work, we investigate some approximation properties of blending type univariate and bivariate Schurer-Kantorovich operators based on shape parameter λ ∈ [−1, 1]. We evaluate some moment estimates and obtain several direct theorems.
Reşat Aslan
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Better Uniform Approximation by New Bivariate Bernstein Operators

International Journal of Analysis and Applications, 2022
In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate ...
Asha Ram Gairola, Suruchi Maindola, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +4 more
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On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators

Journal of Function Spaces, 2020
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
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Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α

Mathematics, 2022
This paper is devoted to studying the statistical approximation properties of a sequence of univariate and bivariate blending-type Bernstein operators that includes shape parameters α and λ and a positive integer.
Qing-Bo Cai, Khursheed J. Ansari, Merve Temizer Ersoy, Faruk Özger   +3 more
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