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Bivariate α,q-Bernstein–Kantorovich Operators and GBS Operators of Bivariate α,q-Bernstein–Kantorovich Type [PDF]

Mathematics, 2019
In this paper, we introduce a family of bivariate α , q -Bernstein–Kantorovich operators and a family of G B S (Generalized Boolean Sum) operators of bivariate α , q -Bernstein–Kantorovich type. For the former, we obtain the estimate of moments and central moments, investigate the degree of approximation for these bivariate ...
Qing-Bo Cai, Wen-Tao Cheng, Bayram ÇEkim   +2 more
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A family of bivariate rational Bernstein operators

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Gang Zhu, Bao-Yu Xia
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Bivariate Baskakov type operators

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
Following ideas from \textit{G. Başcanbaz-Tunca} et al. [Appl. Math. Comput. 273, 543--552 (2016; Zbl 1410.41028)], the authors introduce bivariate Baskakov type operators, and establish their shape preserving properties and monotonicity properties, respectively.
Taşdelen Yeşildal, Fatma, Bodur, Murat
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Approximation by Complex Bivariate Balázs-Szabados Operators

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Bivariate Extension of Linear Positive Operators

Springer Optimization and Its Applications, 2016
The goal of this chapter is to present a survey of the literature on approximation of functions of two variables by linear positive operators. We study the approximation properties of these operators in the space of functions of two variables, continuous on a compact set. We also discuss the convergence of the operators in a weighted space of functions
P N Agrawal, Meenu Goyal
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Bivariate Quasi-Interpolation Operator of Bernoulli Type

Mediterranean Journal of Mathematics, 2013
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On the Durrmeyer-type operators for bivariate functions

Approximation Theory and its Applications, 1994
The author considers Boolean sums \(\widetilde L_{m, n}f\) of parametric extensions of certain Durrmeyer-type operators \(\widetilde L_m\) and \(\widetilde L_n\) for measurable functions \(f\) of two real variables. The weighted mixed modulus of continuity of \(\widetilde L_{m, n}f\) is estimated and the degree of approximation of \(f\) by \(\widetilde
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GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle

Mathematical Methods in the Applied Sciences, 2018
The purpose of the present paper is to define the GBS (Generalized Boolean Sum) operators associated with the two‐dimensional Bernstein‐Durrmeyer operators introduced by Zhou 1992 and study its approximation properties. Furthermore, we show the convergence and comparison of convergence with the GBS of the Bernstein‐Kantorovich operators proposed by ...
Ruchi Ruchi, Behar Baxhaku, Purshottam N. Agrawal   +2 more
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On nonlinear bivariate singular integral operators

Mathematical Methods in the Applied Sciences, 2018
In this paper, we give some pointwise convergence and Fatou type convergence theorems for a family of nonlinear bivariate singular integral operators in the following form: urn:x-wiley:mma:media:mma5425:mma5425-math-0006 where m1,m2  ≥  1 are fixed natural numbers, and ω  ∈  Ω, Ω denotes a nonempty set of indices endowed with a topology.
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The bivariate Shepard operator of Bernoulli type

Calcolo, 2007
The author studies the interpolation of very large scattered data sets. She introduces a combined operator of Bernoulli type, using the classical Shepard operator and then a modified Shepard method. They preserve the advantages and improve the reproduction qualities, have better accuracy and better computational efficiency.
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