Bézier variant of modified α-Bernstein operators

2021 ◽  
Author(s):  
P. N. Agrawal ◽  
Neha Bhardwaj ◽  
Parveen Bawa
Keyword(s):  
Bernstein Operators ◽  
Bézier Variant

scholarly journals Lupaş type Bernstein operators on triangles based on quantum analogue

2021 ◽  
Vol 60 (6) ◽  
pp. 5909-5919
Author(s):  
Asif Khan ◽  
M.S. Mansoori ◽  
Khalid Khan ◽  
M. Mursaleen
Keyword(s):  
Bernstein Operators ◽  
Quantum Analogue

scholarly journals The Rate of Convergence of Lupasq-Analogue of the Bernstein Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Heping Wang ◽  
Yanbo Zhang
Keyword(s):  
Rate Of Convergence ◽  
Modulus Of Continuity ◽  
Continuous Functions ◽  
Bernstein Operators ◽  
Lipschitz Continuous Functions ◽  
Lipschitz Continuous

We discuss the rate of convergence of the Lupasq-analogues of the Bernstein operatorsRn,q(f;x)which were given by Lupas in 1987. We obtain the estimates for the rate of convergence ofRn,q(f)by the modulus of continuity off, and show that the estimates are sharp in the sense of order for Lipschitz continuous functions.

A fully stochastic approach to limit theorems for iterates of Bernstein operators

2018 ◽  
Vol 36 (2) ◽  
pp. 143-165
Author(s):  
Takis Konstantopoulos ◽  
Linglong Yuan ◽  
Michael A. Zazanis
Keyword(s):  
Limit Theorems ◽  
Stochastic Approach ◽  
Bernstein Operators

scholarly journals CODES AND SHIFTED CODES

2012 ◽  
Vol 22 (06) ◽  
pp. 1250054
Author(s):  
J. T. HIRD ◽  
NAIHUAN JING ◽  
ERNEST STITZINGER
Keyword(s):  
Algebraic Structure ◽  
Schur Functions ◽  
Natural Setting ◽  
Bernstein Operators ◽  
Combinatorial Model

The action of the Bernstein operators on Schur functions was given in terms of codes by Carrell and Goulden (2011) and extended to the analog in Schur Q-functions in our previous work. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions.

On the Rates of Convergence of Chlodovsky–Durrmeyer Operators and their Bézier Variant

2009 ◽  
Vol 16 (4) ◽  
pp. 693-704
Author(s):  
Harun Karsli ◽  
Paulina Pych-Taberska
Keyword(s):  
Recent Result ◽  
Pointwise Convergence ◽  
Rates Of Convergence ◽  
Durrmeyer Operators ◽  
The One ◽  
Special Case ◽  
Appl Math ◽  
Bézier Variant

Abstract We consider the Bézier variant of Chlodovsky–Durrmeyer operators 𝐷𝑛,α for functions 𝑓 measurable and locally bounded on the interval [0,∞). By using the Chanturia modulus of variation we estimate the rate of pointwise convergence of (𝐷𝑛,α 𝑓) (𝑥) at those 𝑥 > 0 at which the one-sided limits 𝑓(𝑥+), 𝑓(𝑥–) exist. In the special case α = 1 the recent result of [Ibikli, Karsli, J. Inequal. Pure Appl. Math. 6: 12, 2005] concerning the Chlodovsky–Durrmeyer operators 𝐷𝑛 is essentially improved and extended to more general classes of functions.

The Hyers–Ulam stability constant for Chebyshevian Bernstein operators

2018 ◽  
Vol 463 (2) ◽  
pp. 1075-1091
Author(s):  
Rachid Ait-Haddou ◽  
Daisuke Furihata ◽  
Marie-Laurence Mazure
Keyword(s):  
Stability Constant ◽  
Bernstein Operators ◽  
Ulam Stability
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