scholarly journals On the (p,q)−Stancu Generalization of a Genuine Baskakov-Durrmeyer Type Operators

2017 ◽  
Keyword(s):  
Durrmeyer Type Operators

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.

Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators

2017 ◽  
Vol 12 (8) ◽  
pp. 1973-1989 ◽  
Author(s):  
Ana Maria Acu ◽  
Vijay Gupta ◽  
Neha Malik
Keyword(s):  
Global Approximation ◽  
Durrmeyer Type Operators

scholarly journals Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space

2014 ◽  
Vol 47 (2) ◽  
Author(s):  
Grażyna Krech ◽  
Eugeniusz Wachnicki
Keyword(s):  
Weighted Space ◽  
Type Theorem ◽  
Approximation Order ◽  
Direct Estimate ◽  
Voronovskaya Type Theorem ◽  
Durrmeyer Type Operators

AbstractIn the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.

scholarly journals Exponential moments and simultaneous approximation properties for Durrmeyer type operators with weights of Szasz basis functions

Filomat ◽  
2021 ◽  
Vol 35 (5) ◽  
pp. 1465-1475
Author(s):  
Antonio-Jesús López-Moreno ◽  
Vijay Gupta
Keyword(s):  
Exponential Type ◽  
Exponential Growth ◽  
Simultaneous Approximation ◽  
Basis Functions ◽  
Approximation Properties ◽  
Exponential Functions ◽  
Quantitative Estimates ◽  
Exponential Moments ◽  
Durrmeyer Type Operators ◽  
Derivatives Of

The present paper deals with the approximation properties for exponential functions of general Durrmeyer type operators having the weights of Sz?sz basis functions. Here we give explicit expressions for exponential type moments by means of which we establish, for the derivatives of the operators, the Voronovskaja formulas for functions of exponential growth and the corresponding weighted quantitative estimates for the remainder in simultaneous approximation.

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