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GBS Operators of Bivariate Durrmeyer Operators on Simplex

open access: yesCommunications 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
doaj   +4 more sources

Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators [PDF]

open access: yesAdvances 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

Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2022
In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
doaj   +3 more sources

The approximation of bivariate functions by bivariate operators and GBS operators

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   +4 more sources

Bivariate Bernstein–Schurer–Stancu type GBS operators in ( p , q ) $(p,q)$ -analogue [PDF]

open access: yesAdvances in Difference Equations, 2020
The purpose of this paper is to construct a ( p , q ) $(p,q)$ -analogue of Bernstein–Schurer–Stancu type GBS (generalized Boolean sum) operators for approximating B-continuous and B-differentiable functions.
M. Mursaleen, Mohd. Ahasan, K. J. Ansari
doaj   +2 more sources

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   +4 more sources

Generalized Bivariate Baskakov Durrmeyer operators and associated GBS operators

open access: yesFilomat, 2022
In the present research article, we construct a new sequence of Generalized Bivariate Baskakov Durrmeyer Operators. We investigate rate of convergence and the order of approximation with the aid of modulus of continuity in terms of well known Peetre?s K-functional, Voronovskaja type theorems and Lipschitz maximal functions.
Mamta Rani, Nadeem Rao, Pradeep Malik
openaire   +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

Approximation by associated GBS operators of Szász-Mirakjan type operators

open access: yesFilomat, 2021
In this article, the approximation properties of bivariate Sz?sz-Mirakjan type operators are studied for the function of two variables and rate of convergence of the bivariate operators is determined in terms of total and partial modulus of continuity.
Rishikesh Yadav   +2 more
openaire   +2 more sources

Approximation properties of generalized Baskakov operators

open access: yesAIMS Mathematics, 2021
The present article is a continuation of the work done by Aral and Erbay [1]. We discuss the rate of convergence of the generalized Baskakov operators considered in the above paper with the aid of the second order modulus of continuity and the unified ...
Purshottam Narain Agrawal   +2 more
doaj   +1 more source

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