scholarly journals Simultaneous approximation for Bézier variant of Szász–Mirakyan–Durrmeyer operators

2007 ◽  
Vol 328 (1) ◽  
pp. 101-105 ◽  
Author(s):  
Vijay Gupta
Keyword(s):  
Simultaneous Approximation ◽  
Durrmeyer Operators ◽  
Bézier Variant

scholarly journals Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1517-1530 ◽  
Author(s):  
M. Mursaleen ◽  
Shagufta Rahman ◽  
Khursheed Ansari
Keyword(s):  
Upper Bound ◽  
Simultaneous Approximation ◽  
Approximation Theorem ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Durrmeyer Operators ◽  
Durrmeyer Type Operators

In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.

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.

Simultaneous approximation with generalized Durrmeyer operators

2015 ◽  
Vol 260 ◽  
pp. 126-134 ◽  
Author(s):  
Gülsüm Ulusoy ◽  
Emre Deniz ◽  
Ali Aral
Keyword(s):  
Simultaneous Approximation ◽  
Durrmeyer Operators

Simultaneous approximation on generalized Bernstein–Durrmeyer operators

2011 ◽  
Vol 24 (1) ◽  
pp. 77-82 ◽  
Author(s):  
Naokant Deo ◽  
Neha Bhardwaj ◽  
Suresh P. Singh
Keyword(s):  
Simultaneous Approximation ◽  
Durrmeyer Operators
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