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Differences and quotients of positive linear operators

Sever Hodiş
Sever Hodiş
   | Dec 31, 2020
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Published Online: Dec 31, 2020
Page range: 81 - 85
Received: Jul 26, 2020
Accepted: Sep 20, 2020
DOI: https://doi.org/10.2478/gm-2020-0017
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© 2020 Sever Hodiş, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.

eISSN:
1584-3289
Language:
English
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2 times per year
Journal Subjects:
Mathematics, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics, Applied Mathematics
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