Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators

2009 ◽  
Vol 16 (3) ◽  
pp. 475-487
Author(s):  
Deepak Kumar Dubey ◽  
Ravindra Kumar Gangwar ◽  
Shipra Jain
Keyword(s):  
Weight Function ◽  
Basis Function ◽  
Simultaneous Approximation ◽  
Durrmeyer Operators ◽  
Rate Of Approximation ◽  
Direct Results

Abstract We study a certain integral modification of the well known Szasz–Mirakyan operators with a weight function of a general Baskakov basis function. We establish some direct results on a simultaneous approximation for these new operators.

A note on improved estimations for integrated Szász-Mirakyan operators

2011 ◽  
Vol 61 (5) ◽  
Author(s):  
Vijay Gupta ◽  
Naokant Deo
Keyword(s):  
Weight Function ◽  
Basis Function ◽  
Direct Results

AbstractIn the present paper, we propose a modification of the integrated Szász-Mirakyan operators having the weight function of general Beta basis function. We study some direct results on the modified operators. It is also observed that our modified operators have better estimates over the original operators.

Genuine link Baskakov–Durrmeyer operators

2018 ◽  
Vol 25 (1) ◽  
pp. 25-40 ◽  
Author(s):  
Vijay Gupta ◽  
Neha Malik
Keyword(s):  
Asymptotic Formula ◽  
Simultaneous Approximation ◽  
Weighted Approximation ◽  
Approximation Result ◽  
Durrmeyer Operators ◽  
Direct Results

AbstractIn the present paper, we propose a sequence of generalized genuine Baskakov–Durrmeyer-type link operators. In terms of ordinary approximation, we estimate local and global direct results and also study the weighted approximation result. In terms of simultaneous approximation, we establish an asymptotic formula of Voronovskaja kind. In the last section, we prove convergence in{L_{p}}-norm.

Rate of Approximation for Certain Durrmeyer Operators

2006 ◽  
Vol 13 (2) ◽  
pp. 277-284 ◽  
Author(s):  
Vijay Gupta ◽  
Tengiz Shervashidze ◽  
Maria Craciun
Keyword(s):  
Rate Of Convergence ◽  
Simultaneous Approximation ◽  
Present Note ◽  
Bernstein Polynomials ◽  
Durrmeyer Operators ◽  
Rate Of Approximation ◽  
Type Integral

Abstract In the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.

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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