Geodesic
Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials
Filomat, Tome 34 (2020) no. 10, p. 3265

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DOI

In the present paper we introduce the Bézier variant of the Szász-Durrmeyer type operators, involving the Poisson-Charlier polynomials. Our study focuses on a direct approximation theorem in terms of the Ditzian-Totik modulus of smoothness and the rate of convergence for differential functions whose derivatives are of bounded variation.
DOI : 10.2298/FIL2010265K
Classification : 26A15, 41A25, 41A35
Keywords: Bézier curve, Szász operator, Poisson-Charlier polynomials, rate of convergence, bounded variation 
Arun Kajla; Dan Miclăuş. Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials. Filomat, Tome 34 (2020) no. 10, p. 3265 . doi: 10.2298/FIL2010265K
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     author = {Arun Kajla and Dan Micl\u{a}u\c{s}},
     title = {B\'ezier variant of the {Sz\'asz-Durrmeyer} type operators based on the {Poisson-Charlier} polynomials},
     journal = {Filomat},
     pages = {3265 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010265K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010265K/}
}
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