difference of operators
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Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 915
Author(s):  
Vijay Gupta ◽  
Ana Maria Acu ◽  
Hari Mohan Srivastava

In the present paper, we deal with some general estimates for the difference of operators which are associated with different fundamental functions. In order to exemplify the theoretical results presented in (for example) Theorem 2, we provide the estimates of the differences between some of the most representative operators used in Approximation Theory in especially the difference between the Baskakov and the Szász–Mirakyan operators, the difference between the Baskakov and the Szász–Mirakyan–Baskakov operators, the difference of two genuine-Durrmeyer type operators, and the difference of the Durrmeyer operators and the Lupaş–Durrmeyer operators. By means of illustrative numerical examples, we show that, for particular cases, our result improves the estimates obtained by using the classical result of Shisha and Mond. We also provide the symmetry aspects of some of these approximations operators which we have studied in this paper.


2020 ◽  
Vol 107 (121) ◽  
pp. 137-144
Author(s):  
Man Beniwal ◽  
V.K. Singh

We study the approximation of difference of operators. We find the quantitative estimate for the difference of modified Baskakov and the Srivastava-Gupta operators.


Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 3023-3034 ◽  
Author(s):  
Vijay Gupta ◽  
Ana Acu

In the recent years several researchers have studied problems concerning the difference of two linear positive operators, but all the available literature on this topic is for operators having same basis functions. In the present paper, we deal with the general quantitative estimate for the difference of operators having different basis functions. In the end we provide some examples. The estimates for the differences of two operators can be obtained also using classical result of Shisha and Mond. Using numerical examples we will show that for particular cases our result improves the classical one.


2016 ◽  
Vol 10 (6) ◽  
pp. 2189-2196
Author(s):  
Muhammad Aslam Noor ◽  
Rabia Kamal ◽  
Khalida Inayat Noor

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor ◽  
Rabia Kamal

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