Geodesic
Max-product for the q-Bernstein-Chlodowsky operators
Filomat, Tome 37 (2023) no. 4, p. 1065

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DOI

In this study, we introduce a new kind of nonlinear Bernstein-Chlodowsky operators based on q-integers. Firstly, we define the nonlinear q−Bernstein-Chlodowsky operators of max-product kind. Then, we give an error estimation for the q−Bernstein Chlodowsky operators of max-product kind by using a suitable generalizition of the Shisha-Mond Theorem. There follows an upper estimates of the approximation error for some subclasses of functions.
DOI : 10.2298/FIL2304065G
Classification : 41A10, 41A25, 41A36, 47A58
Keywords: Degree of approximation, max-product type q-Bernstein-Chlodowsky operators, nonlinear operators 
Özge Özalp Güller; Carlo Cattani; Ecem Acar; Sevilay Kırcı Serenbay. Max-product for the q-Bernstein-Chlodowsky operators. Filomat, Tome 37 (2023) no. 4, p. 1065 . doi: 10.2298/FIL2304065G
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     author = {\"Ozge \"Ozalp G\"uller and Carlo Cattani and Ecem Acar and Sevilay K{\i}rc{\i} Serenbay},
     title = {Max-product for the {q-Bernstein-Chlodowsky} operators},
     journal = {Filomat},
     pages = {1065 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304065G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304065G/}
}
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