Results 1 to 10 of about 28,804 (256)

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
doaj   +4 more sources

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
doaj   +4 more sources

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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The approximation of bivariate functions by modified bivariate operators and GBS operators associated

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.
Ovidiu T. Pop
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Bivariate Positive Operators in Polynomial Weighted Spaces [PDF]

Abstract and Applied Analysis, 2013
This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums.
Octavian Agratini
doaj   +3 more sources

Invertible Darboux Transformations [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae.
Ekaterina Shemyakova
doaj   +6 more sources

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
doaj   +3 more sources

On some bivariate spline operators

Journal of Numerical Analysis and Approximation Theory, 1979
Not available.
P. Blaga, Gh. Coman
doaj   +4 more sources

Bivariate $ \lambda $-Bernstein operators on triangular domain

AIMS Mathematics
This paper introduced a novel class of bivariate $ \lambda $-Bernstein operators defined on triangular domain, denoted as $ B_{m}^{\lambda_1, \lambda_2}(f; x, y) $.
Guorong Zhou, Qing-Bo Cai
doaj   +2 more sources

On bivariate Jain operators

Mathematical Foundations of Computing, 2022
<p style='text-indent:20px;'>In this paper we deal with bivariate extension of Jain operators. Using elementary method, we show that these opearators are non-increasing in <inline-formula><tex-math id="M1">\begin{document}$ n $\end{document}</tex-math></inline-formula> when the attached function is convex.
Akçay, Münüse, Başcanbaz-Tunca, Gülen   +1 more
openaire   +3 more sources