MODIFIED BASKAKOV-KANTOROVICH OPERATORS PROVIDING A BETTER ERROR ESTIMATION

Authors

DOI:

https://doi.org/10.37560/matbil14200091q

Keywords:

Baskakov-Kantorovich operators, modulus of continuity, Voronovskaya-type theorem

Abstract

We introduce a kind of Baskakov-Kantorovich operators, which preserve the test functions \(1\) and \(x^2\). This type of modification enables better error estimation on the interval \(\left[\frac{\sqrt{3}}{3},+\infty\right)\) than the classic ones. Finally, a Voronovskaya-type theorem for these operators is also obtained.

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Published

2014-01-01

Issue

Vol. 38 No. 2 (2014): 38 (LXIV) 2 (2014)

Section

Articles

License

Copyright (c) 2014 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
Q. Qi and G. Yang, “MODIFIED BASKAKOV-KANTOROVICH OPERATORS PROVIDING A BETTER ERROR ESTIMATION”, Mat. Bilt., vol. 38, no. 2, pp. 91–94, Jan. 2014, doi: 10.37560/matbil14200091q.