scholarly journals Rate of convergence in simultaneous approximation for Szász–Mirakyan–Durrmeyer operators

2006 ◽  
Vol 322 (2) ◽  
pp. 964-970 ◽  
Author(s):  
Vijay Gupta ◽  
Muhammad Aslam Noor ◽  
Man Singh Beniwal
Keyword(s):  
Rate Of Convergence ◽  
Simultaneous Approximation ◽  
Durrmeyer Operators

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 Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators

2017 ◽  
Vol 50 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Tuncer Acar
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
General Class ◽  
Durrmeyer Operators ◽  
Special Cases ◽  
Derivatives Of

Abstract The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz. Szász-Mirakyan-Durrmeyer operators, Baskakov-Durrmeyer operators. Herewe estimate the rate of convergence of Ibragimov-Gadjiev-Durrmeyer operators for functions having derivatives of bounded variation.

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.

Iterative combinations for Srivastava–Gupta operators

2020 ◽  
pp. 2150108
Author(s):  
Prerna Maheshwari Sharma
Keyword(s):  
Rate Of Convergence ◽  
Modulus Of Continuity ◽  
Simultaneous Approximation ◽  
Higher Order ◽  
Positive Operators ◽  
Integral Type ◽  
Linear Positive Operators ◽  
General Family ◽  
Special Cases

In the year 2003, Srivastava–Gupta proposed a general family of linear positive operators, having some well-known operators as special cases. They investigated and established the rate of convergence of these operators for bounded variations. In the last decade for modified form of Srivastava–Gupta operators, several other generalizations also have been discussed. In this paper, we discuss the generalized modified Srivastava–Gupta operators considered in [H. M. Srivastava and V. Gupta, A certain family of summation-integral type operators, Math. Comput. Modelling 37(12–13) (2003) 1307–1315], by using iterative combinations in ordinary and simultaneous approximation. We may have better approximation in higher order of modulus of continuity for these operators.

scholarly journals Simultaneous Approximation for Generalized Srivastava-Gupta Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Tuncer Acar ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Simultaneous Approximation ◽  
Integrable Functions ◽  
Derivatives Of

We introduce a new Stancu type generalization of Srivastava-Gupta operators to approximate integrable functions on the interval0,∞and estimate the rate of convergence for functions having derivatives of bounded variation. Also we present simultenaous approximation by new operators in the end of the paper.

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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