QUANTITATIVE ESTIMATES FOR MODIFIED BETA OPERATORS

Authors

  • G. Bascanbaz-Tunca Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandoğan, Ankara, Turkey Author
  • A. Erencin Abant İzzet Baysal University, Faculty of Arts and Science, Department of Mathematics, 14280, Bolu, Turkey Author
  • H. G. Ince-Ilarslan Gazi University, Faculty of Arts and Science, Department of Mathematics, 06500 Teknikokullar, Ankara, Turkey Author

Keywords:

Beta operators, Voronovskaja type theorem, Grüss-Voronovskaja type theorem

Subjects:

41A36

Abstract

In this paper, we introduce a sequence of positive linear Beta type operators based on a function $\tau$ having certain properties. We firstly give some approximation properties of these operators. Next, we establish Voronovskaja type and Grüss-Voronovskaja type theorems in quantitative form with the help of the first order Ditzian-Totik modulus of smoothness.

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Published

2019-10-15

Issue

Vol. 71 No. 4 (2019): Vol. 71, Issue 4

Section

Articles

License

Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.