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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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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
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Bivariate Shepard-Bernoulli operators [PDF]
Mathematics and Computers in Simulation, 2014 In this paper we extend the Shepard-Bernoulli operators introduced in [6] to the bivariate case. These new interpolation operators are realized by using local support basis functions introduced in [23] instead of classical Shepard basis functions and the bivariate three point extension [13] of the generalized Taylor polynomial introduced by F ...
Francesco Dell’Accio +1 more
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Mathematical Foundations of Computing, 2021 <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.
Münüse Akçay +1 more
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The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators.
Purshottam Narain Agrawal +2 more
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On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators [PDF]
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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Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators [PDF]
Journal of Function Spaces, 2019 In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented.
Tuba Vedi-Dilek, Eser Gemikonakli
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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 +2 more
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Bivariate Linear Operator Codes [PDF]
2025 IEEE International Symposium on Information Theory (ISIT)In this work, we present a generalization of the linear operator family of codes that captures more codes that achieve list decoding capacity. Linear operator (LO) codes were introduced by Bhandari, Harsha, Kumar, and Sudan [BHKS24] as a way to capture capacity-achieving codes. In their framework, a code is specified by a collection of linear operators
Aaron L. Putterman, Vadim Zaripov
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