scholarly journals On lp-convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure

2014 ◽  
Vol 96 (110) ◽  
pp. 23-29 ◽  
Author(s):  
Elena Berdysheva ◽  
Bing-Zheng Li
Keyword(s):  
Rate Of Convergence ◽  
Lp Spaces ◽  
Durrmeyer Operators ◽  
Arbitrary Measure

We consider Bernstein-Durrmeyer operators with respect to arbitrary measure on the simplex in the space Rd. We obtain estimates for rate of convergence in the corresponding weighted Lp-spaces, 1 ? p < ?.

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.

Approximation of functions of bounded variation by integrated Meyer-König and Zeller operators of finite type

2012 ◽  
Vol 49 (2) ◽  
pp. 254-268
Author(s):  
Tiberiu Trif
Keyword(s):  
Rate Of Convergence ◽  
Finite Type ◽  
Bounded Variation ◽  
Continuous Functions ◽  
Functions Of Bounded Variation ◽  
Approximation Of Functions ◽  
Durrmeyer Operators

I. Gavrea and T. Trif [Rend. Circ. Mat. Palermo (2) Suppl. 76 (2005), 375–394] introduced a class of Meyer-König-Zeller-Durrmeyer operators “of finite type” and investigated the rate of convergence of these operators for continuous functions. In the present paper we study the approximation of functions of bounded variation by means of these operators.

scholarly journals APPROXIMATION THEOREMS FOR LIMIT $(p,q)-$BERNSTEIN-DURRMEYER OPERATOR

2017 ◽  
pp. 195 ◽  
Author(s):  
Zoltan Finta ◽  
Vijay Gupta
Keyword(s):  
Rate Of Convergence ◽  
Slight Modification ◽  
Limit Operator ◽  
Durrmeyer Operators ◽  
Approximation Theorems ◽  
Durrmeyer Operator

In the present paper, using the method developed in \cite{Finta1}, we prove the existence of the limit operator of the slight modification of the sequence of $(p,q)$-Bernstein-Durrmeyer operators introduced recently in \cite{Gupta1}. We also establish the rate of convergence of this limit operator.

scholarly journals A generalization of Bernstein-Durrmeyer operators on hypercubes by means of an arbitrary measure

2019 ◽  
Vol 64 (2) ◽  
pp. 239-252
Author(s):  
Mirella Cappelletti Montano ◽  
◽  
Vita Leonessa ◽  
◽  
Keyword(s):  
Durrmeyer Operators ◽  
Arbitrary Measure

scholarly journals Integral modification of Apostol-Genocchi operators

Filomat ◽  
2021 ◽  
Vol 35 (8) ◽  
pp. 2533-2544
Author(s):  
N Neha ◽  
Naokant Deo
Keyword(s):  
Rate Of Convergence ◽  
Modulus Of Continuity ◽  
Absolute Error ◽  
Local Approximation ◽  
Approximation Properties ◽  
Type Space ◽  
Durrmeyer Operators ◽  
Genocchi Polynomials ◽  
The Absolute ◽  
Mathematica Software

In this article, we consider Jain-Durrmeyer operators associated with the Apostol-Genocchi polynomials and study the approximation properties of these Durrmeyer operators. Furthermore, we examine the approximation behaviour of these operators including K-functional. We estimate the rate of convergence of the proposed operators for function in Lipschitz-type space and local approximation results by using modulus of continuity. Employing Mathematica software, to show the approximation and the absolute error graphically by varying the values of given parameters.

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