Geodesic
Modified Bernstein-Kantorovich operators reproducing affine functions
Filomat, Tome 36 (2022) no. 18, p. 6187

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DOI

In the present paper, we introduce a new variant of Bernstein-Kantorovich operators which reproduce affine functions. The approximation rate of the new operators for continuous functions and Voronovskaja's asymptotic estimate are obtained.
DOI : 10.2298/FIL2218187Z
Classification : 41A36, 41A25, 41A17, 41A10
Keywords: Bernstein-Kantorovich Operators, approximation rates, Voronovskaja’s asymptotic estimate 
Bin Zhang; Dansheng Yu; Fengfeng Wang. Modified Bernstein-Kantorovich operators reproducing affine functions. Filomat, Tome 36 (2022) no. 18, p. 6187 . doi: 10.2298/FIL2218187Z
@article{10_2298_FIL2218187Z,
     author = {Bin Zhang and Dansheng Yu and Fengfeng Wang},
     title = {Modified {Bernstein-Kantorovich} operators reproducing affine functions},
     journal = {Filomat},
     pages = {6187 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218187Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218187Z/}
}
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