scholarly journals On statistical approximation properties of the Kantorovich type Lupaş operators

2012 ◽  
Vol 55 (3-4) ◽  
pp. 1610-1621 ◽  
Author(s):  
Ogün Doğru ◽  
Kadir Kanat
Keyword(s):  
Approximation Properties ◽  
Statistical Approximation ◽  
Lupaş 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.

scholarly journals On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 731 ◽  
Author(s):  
Khursheed Ansari ◽  
Ishfaq Ahmad ◽  
M. Mursaleen ◽  
Iqtadar Hussain
Keyword(s):  
Approximation Theorem ◽  
Rates Of Convergence ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Statistical Sense ◽  
Symmetric Property ◽  
Korovkin Approximation ◽  
Korovkin Approximation Theorem ◽  
Extra Parameter

In this article, we propose a different generalization of ( p , q ) -BBH operators and carry statistical approximation properties of the introduced operators towards a function which has to be approximated where ( p , q ) -integers contains symmetric property. We establish a Korovkin approximation theorem in the statistical sense and obtain the statistical rates of convergence. Furthermore, we also introduce a bivariate extension of proposed operators and carry many statistical approximation results. The extra parameter p plays an important role to symmetrize the q-BBH operators.

Statistical approximation properties of q-Baskakov-Kantorovich operators

2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Vijay Gupta ◽  
Cristina Radu
Keyword(s):  
Modulus Of Smoothness ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Weighted Modulus Of Smoothness ◽  
Weighted Modulus ◽  
Kantorovich Operators

AbstractIn the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.

Statistical approximation by generalized Meyer-König and Zeller type operators

2003 ◽  
Vol 40 (3) ◽  
pp. 359-371 ◽  
Author(s):  
O. Doğru ◽  
O. Duman ◽  
C. Orhan
Keyword(s):  
Statistical Convergence ◽  
Approximation Properties ◽  
Statistical Approximation

In the present paper, we study a Kantorovich type generalization of Agratini's operators. Using A-statistical convergence, we will give the approximation properties of Agratini's operators and their Kantorovich type generalizations. We also give the rates of A-statistical convergence of these operators.

scholarly journals Approximation properties of Jain-Appell operators

2020 ◽  
pp. 44-44
Author(s):  
Mehmet Özarslan
Keyword(s):  
Approximation Property ◽  
Weighted Approximation ◽  
Lipschitz Class ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Special Cases ◽  
Families Of Operators

In this paper, we introduce the Jain-Appell operators by applying Gamma transform to the Jakimovski-Leviatan operators. In their special cases they include not only the Jain-Pethe operators, but also new families of operators, where we call them Appell-Baskakov and Appell-Lupa? operators, since their special cases contain Baskakov and Lupa? operators, respectively. We investigate their weighted approximation properties and compute the error of approximation by using certain Lipschitz class functions. Furthermore, we obtain their A-statistical approximation property.

scholarly journals The (p; q)-Bernstein-Stancu operator of rough statistical convergence on triple sequence

2019 ◽  
Vol 38 (7) ◽  
pp. 125-136
Author(s):  
Ayhan Esi ◽  
M. Kemal Ozdemir ◽  
Nagarajan Subramanian
Keyword(s):  
Error Bound ◽  
Modulus Of Continuity ◽  
Statistical Convergence ◽  
Approximation Properties ◽  
Statistical Approximation ◽  
Stancu Operators

In the paper, we investigate rough statistical approximation properties of (p; q)-analogue of Bernstein-Stancu Operators. We study approximation properties based on rough statistical convergence. We also study error bound using modulus of continuity.

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