Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators

1990 ◽  
pp. 107-116 ◽  
Author(s):  
M. Heilmann ◽  
M. W. Müller
Keyword(s):  
Simultaneous Approximation ◽  
Durrmeyer Operators ◽  
Direct And Converse Results ◽  
Converse Results

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.

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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