GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle

2018 ◽  
Vol 41 (7) ◽  
pp. 2673-2683 ◽  
Author(s):  
Ruchi Ruchi ◽  
Behar Baxhaku ◽  
Purshottam N. Agrawal
Keyword(s):  
Gbs Operators

scholarly journals GBS Operators of Bivariate Durrmeyer Operators on Simplex

2021 ◽  
pp. 108-114
Author(s):  
Harun ÇİÇEK ◽  
Aydın İZGİ ◽  
Mehmet AYHAN
Keyword(s):  
Durrmeyer Operators ◽  
Gbs Operators

scholarly journals About the bivariate operators of Durrmeyer-type

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Ovidiu T. Pop ◽  
Mircea D. Fărcaş
Keyword(s):  
Approximation Properties ◽  
Gbs Operators ◽  
Bivariate Operators

AbstractThe aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Durrmeyer-type.

Convergence of GBS Operators

2018 ◽  
pp. 241-278
Author(s):  
Vijay Gupta ◽  
Themistocles M. Rassias ◽  
P. N. Agrawal ◽  
Ana Maria Acu
Keyword(s):  
Gbs Operators

Bivariate q-Bernstein–Chlodowsky–Durrmeyer type operators and the associated GBS operators

2019 ◽  
Vol 13 (05) ◽  
pp. 2050091
Author(s):  
Tarul Garg ◽  
Nurhayat İspir ◽  
P. N. Agrawal
Keyword(s):  
Lipschitz Space ◽  
Continuous Functions ◽  
Modulus Of Smoothness ◽  
Approximation Properties ◽  
Space Of Continuous Functions ◽  
Mixed Modulus Of Smoothness ◽  
Gbs Operators ◽  
Durrmeyer Type Operators ◽  
Mixed Modulus ◽  
Bivariate Operators

This paper deals with the approximation properties of the [Formula: see text]-bivariate Bernstein–Chlodowsky operators of Durrmeyer type. We investigate the approximation degree of the [Formula: see text]-bivariate operators for continuous functions in Lipschitz space and also with the help of partial modulus of continuity. Further, the Generalized Boolean Sum (GBS) operator of these bivariate [Formula: see text]–Bernstein–Chlodowsky–Durrmeyer operators is introduced and the rate of convergence in the Bögel space of continuous functions by means of the Lipschitz class and the mixed modulus of smoothness is examined. Furthermore, the convergence and its comparisons are shown by illustrative graphics for the [Formula: see text]-bivariate operators and the associated GBS operators to certain functions using Maple algorithms.

scholarly journals Quantitative estimates for the tensor product (p,q)-Balázs-Szabados operators and associated generalized Boolean sum operators

Filomat ◽  
2020 ◽  
Vol 34 (3) ◽  
pp. 779-793
Author(s):  
Esma Özkan
Keyword(s):  
Tensor Product ◽  
Modulus Of Continuity ◽  
Continuous Functions ◽  
Modulus Of Smoothness ◽  
Mixed Modulus Of Smoothness ◽  
Quantitative Estimates ◽  
Gbs Operators ◽  
Mixed Modulus ◽  
Boolean Sum ◽  
Second Modulus Of Continuity

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 example. Then we estimate the approximation for the tensor product (p,q)-Bal?zs-Szabados operators in terms of the complete modulus of continuity, the partial modulus of continuity, Lipschitz functions and Petree?s K-functional corresponding to the second modulus of continuity. After that, we introduce the GBS operators associated the tensor product (p,q)-Bal?zs-Szabados operators. Finally, we improve the rate of smoothness by the mixed modulus of smoothness and Lipschitz class of B?gel continuous functions for the GBS operators.

scholarly journals GBS operators of Durrmeyer-Stancu type

2008 ◽  
Vol 9 (1) ◽  
pp. 53 ◽  
Author(s):  
Ovidiu T. Pop ◽  
Dan Bărbosu
Keyword(s):  
Gbs Operators

scholarly journals About approximation of B-continuous functions of several variables by generalized Boolean sum operators of Bernstein type on a simplex

2011 ◽  
Vol 20 (1) ◽  
pp. 20-23
Author(s):  
IRINA BARSAN ◽  
◽  
PETRU BRAICA ◽  
MIRCEA FARCAS ◽  
◽  
...  
Keyword(s):  
Continuous Functions ◽  
Bernstein Type ◽  
Several Variables ◽  
Gbs Operators ◽  
Boolean Sum

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).

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