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Note On Jakimovski-Leviatan Operators Preserving e–x

Ecem Acar

Ecem Acar

Department of Mathematics, Faculty of Art and Sciences, Harran UniversityŞanlıurfa, Turkey
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Acar, Ecem
, 
Aydın İzgi

Aydın İzgi

Department of Mathematics, Faculty of Art and Sciences, Harran UniversityŞanlıurfa, Turkey
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İzgi, Aydın
 and 
Sevilay Kirci Serenbay

Sevilay Kirci Serenbay

Department of Mathematics, Faculty of Art and Sciences, Harran UniversityŞanlıurfa, Turkey
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Serenbay, Sevilay Kirci
  
Dec 26, 2019
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Published Online: Dec 26, 2019
Page range: 543 - 550
Received: Apr 26, 2019
Accepted: Jul 22, 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00051
Keywords
© 2019 Ecem Acar et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.

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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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