scholarly journals On the Bézier Variant of the Srivastava-Gupta Operators

2018 ◽  
Vol 1 (2) ◽  
pp. 99-107
Author(s):  
Arun Kajla
Keyword(s):  
Bézier Variant

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.

scholarly journals On the Bézier variant of generalized Kantorovich type Balazs operators

2005 ◽  
Vol 18 (9) ◽  
pp. 1053-1061 ◽  
Author(s):  
Vijay Gupta ◽  
Nurhayat Ispir
Keyword(s):  
Bézier Variant
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