Weighted approximation by generalized Baskakov operators reproducing affine functions

Authors

Keywords:

Baskakov type operators, polynomial weighted spaces, rate of convergence

Abstract

Some extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included.

References

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J. Bustamante: Directs estimates and a Voronovskaja-type formula for Mihesan operators, Constr. Math. Anal., 5 (4) (2022), 202–213.

J. Bustamante, J. J. Merino-García and J. M. Quesada: Baskakov operators and Jacobi weights: pointwise estimates, J. Inequal. Appl., 119 (2021) Article ID: 119 (2021).

V. Miheşan: Uniform approximation with positive linear operators generated by generalized Baskakov method, Automat. Comput. Appl. Math., 7 (1) (1998), 34–37.

A.Wafi, S. Khatoon: Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators, Cent. Eur. J. Math., 6 (2) (2008), 325–334.

A. Wafi, N. Rao: Stancu-variant of generalized Baskakov operators, Filomat, 31 (9) (2015), 2625–2632.

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Published

15-12-2023

How to Cite

Bustamante, J. (2023). Weighted approximation by generalized Baskakov operators reproducing affine functions. Modern Mathematical Methods, 1(1), 30–42. Retrieved from https://modernmathmeth.com/index.php/pub/article/view/3

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Articles