Approximation by certain linking operators

Springer Science and Business Media LLC - Tập 11 - Trang 1184-1202 - 2020
Ana-Maria Acu1, Gülen Başcanbaz-Tunca2, Nursel Çetin3
1Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Sibiu, Romania
2Department of Mathematics, Faculty of Science, Ankara University, Beşevler, Turkey
3Department of Mathematics, Polatlı Faculty of Science and Letters, Ankara Hacı Bayram Veli University, Ankara, Turkey

Tóm tắt

In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein–Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerical examples regarding the obtained theoretical results for new constructed operators.

Tài liệu tham khảo

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