Statistical approximation properties of Lupaş $q$-analogue of $\lambda$-Bernstein operators

Authors

  • M. Mursaleen Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, India; Aligarh Muslim University, Aligarh 202002, India https://orcid.org/0000-0003-4128-0427
  • A. Naaz Aligarh Muslim University, Aligarh 202002, India
https://doi.org/10.15330/cmp.17.1.128-136

Keywords:

Lupaş operator, $\lambda$-Bernstein polynomial, Korovkin theorem, statistical approximation
Published online: 2025-06-01

Abstract

In this paper, we introduce a new type of Lupaş-Bernstein operators with shape parameter $\lambda$ and establish a Korovkin type approximation theorem. We also find the rate of statistical convergence for these operators. Further, we give some graphs and numerical examples for the convergence of new operators and show that in some cases the errors are less than ordinary one.

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How to Cite
(1)
Mursaleen, M.; Naaz, A. Statistical Approximation Properties of Lupaş $q$-Analogue of $\lambda$-Bernstein Operators. Carpathian Math. Publ. 2025, 17, 128-136.