Geodesic
Some approximation results on Chlodowsky type q−Bernstein-Schurer operators
Filomat, Tome 37 (2023) no. 23, p. 8013

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DOI

The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre's K-functional, respectively. In addition, we derive the Voronovskaya type asymptotic theorem. Finally, using of Maple software, we present the comparison of the convergence of Chlodowsky type q-Bernstein-Schurer operators to the certain functions with some graphical illustrations and error estimation tables.
DOI : 10.2298/FIL2323013A
Classification : 41A10, 41A25, 41A35
Keywords: q−integers, order of convergence, modulus of smoothness, Peetre’s K-functional, Voronovskaya type asymptotic theorem 
Resat Aslan; M Mursaleen. Some approximation results on Chlodowsky type q−Bernstein-Schurer operators. Filomat, Tome 37 (2023) no. 23, p. 8013 . doi: 10.2298/FIL2323013A
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     author = {Resat Aslan and M Mursaleen},
     title = {Some approximation results on {Chlodowsky} type {q\ensuremath{-}Bernstein-Schurer} operators},
     journal = {Filomat},
     pages = {8013 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323013A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323013A/}
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