scholarly journals Retraction Note: On eigenstructure of q-Bernstein operators

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Ambreen Naaz ◽  
M. Mursaleen
Keyword(s):  
Bernstein Operators

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.

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

Approximation by Max-Product Bernstein Operators

2016 ◽  
pp. 25-158
Author(s):  
Barnabás Bede ◽  
Lucian Coroianu ◽  
Sorin G. Gal
Keyword(s):  
Bernstein Operators

scholarly journals A Kantorovich variant of a generalized Bernstein operators

2019 ◽  
Vol 19 (02) ◽  
pp. 86-96
Author(s):  
Arun Kajla ◽  
Praveen Agarwal ◽  
Serkan Araci
Keyword(s):  
Bernstein Operators

On the Metric Space of the Limit q-Bernstein Operators

2018 ◽  
Vol 40 (2) ◽  
pp. 134-146
Author(s):  
Sofiya Ostrovska ◽  
Mehmet Turan
Keyword(s):  
Metric Space ◽  
Bernstein Operators
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