Note On Jakimovski-Leviatan Operators Preserving e –x-Reference-Cited by-同舟云学术

Note On Jakimovski-Leviatan Operators Preserving e –x

Published:2019-12-01 Issue:2 Volume:4 Page:543-550
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Acar Ecem¹,İzgi Aydın¹,Serenbay Sevilay Kirci¹

Affiliation:

1. Department of Mathematics, Faculty of Art and Sciences , Harran University , 63100 , Şanlıurfa , Turkey

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/AMNS.2019.2.00051

Reference13 articles.

1. A. Jakimovski, D. Leviatan, Generalized Szász operators for the approximation in the infinite interval, Mathematica (Cluj) 34 (1969) 97-103

2. I. Chlodowsky, Sur le développement des fonctions définies dans un intervalle infini en séries de polynomes de M.S. Bernstein, Compos. Math. 4 (1937) 380-393

3. I. Büyükyazıcı, H. Tanberkan, S. Kırcı Serenbay and Ç. Atakut, Approximation by Chlodowsky type Jakimovski-Leviatan operators, Journal of Computational and Applied Mathematics 259 (2014) 153-163

4. P. P. Krovkin, - On the convergence of linear positive operators in the space of continuous functions, Dokl. Akad. Nauk, 90(1953), 961-964.

5. A. Ciupa, On the approximation by Favard-Szász type operators, Rev. Anal. Numer. Theor. Approx. 25 (1996), 57-61.

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