Weighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators
By Faruk Özger. Filomat, 2019
50 citations recorded by the source corpus.
In this study, we consider statistical approximation properties of univariate and bivariate ?-Kantorovich operators. We estimate rate of weighted A-statistical convergence and prove a Voronovskajatype approximation theorem by a family of linear operators using the notion of weighted A-statistical convergence. We give some estimates for differences of ?-Bernstein and ?-Durrmeyer, and ?-Bernstein and ?-Kantorovich operators. We establish a Voronovskaja-type approximation theorem by weighted A-statistical convergence for the bivariate case.
Subfields: Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/2f2424d3aecaaad996497a454f031a5968242224
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In Statistics and Probability
Citations in the corpus
- On new Bézier bases with Schurer polynomials and corresponding results in approximation theory (2019, result): “We refer to [5, 6, 20, 23, 26] for recent studies about λ-Bernstein type operators and [13, 14, 28] for some Schuer type operators.”