Results 1 to 10 of about 1,745,734 (114)

Quantitative Estimates for the Tensor Product (p,q)-Balázs-Szabados Operators and Associated Generalized Boolean Sum Operators

open access: yesFilomat, 2020
In this study, we give some approximation results for the tensor product of (p,q)-Bal?zs-Szabados operators associated generalized Boolean sum (GBS) operators. Firstly, we introduce tensor product (p,q)-Bal?zs-Szabados operators and give an uniform convergence theorem of these operators on compact rectangular regions with an illustrative ...
Esma Yıldız Özkan
exaly   +6 more sources

Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

open access: yesMathematics, 2022
We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
doaj   +2 more sources

About Approximation of B-Continuous Functions of Several Variables by Generalized Boolean Sum Operators of Bernstein Type on a Simplex [PDF]

open access: yesCreative Mathematics and Informatics, 2011
The aim of this paper is to study the convergence of the sequence of generalized Boolean sum (GBS) operators (UBm)m≥1 for B-continuous functions f ∈ Cb(∆4).
IRINA BARSAN   +2 more
exaly   +2 more sources

The approximation of bivariate functions by bivariate operators and GBS operators [PDF]

open access: yesJournal 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   +3 more sources

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

open access: yesJournal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal   +2 more
doaj   +1 more source

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

open access: yesJournal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +1 more source

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

open access: yesJournal 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
doaj   +2 more sources

A Korovkin-type theorem for generalizations of Boolean sum operators and approximation by trigonometric pseudopolynomials

open access: yesJournal of Numerical Analysis and Approximation Theory, 1988
A real-valued function f on \(D\subset {\mathbb{R}}^ 2\) is called B- continuous if for every (x,y)\(\in D\) we have \(\lim_{(u,\nu)\to (x,y)}\Delta_{u,\nu}f(x,y)=0\) where \[ \Delta_{u,\nu}f(x,y)=f(x,y)- f(x,\nu)-f(u,y)+f(u,\nu). \] In this paper an analogue to Korovkin-type theorem, for the approximation of certain ``periodic'' functions satisfyng \(\
C. Badea, I. Badea, C. Cottin
openaire   +3 more sources

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