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Ahmed F. Jabber, Amal K. Hassan,
Improving the approximation order of Baskakov-Beta operators based on a parameter.
Int. J. Math. Comput. Sci., 20, no. 2, (2025), 543-548

DOI:

https://doi.org/10.69793/ijmcs/02.2025/jabber

Keywords and phrases:

Korovkin theorem, Modulus of continuity, Durrmeyer operators, Voronovkaja-type theorem.

Abstract:

In this paper, we construct a new Baskakov-Beta-type operator based on two sequences. We discuss uniform convergence and study various approximation properties. We find a recurrence relation to calculate the moments for this operator. We introduce a modified Baskakov-Beta operators based on parameter S. We give some direct estimates for this operator using the first and second modulus of continuity.