Geodesic
Approximation of generalized nonlinear Urysohn operators using positive linear operators
Filomat, Tome 35 (2021) no. 8, p. 2595

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DOI

There are presented two methods for approximation of generalized Urysohn type operators. The first of them is the natural generalization of the method considered first by Demkiv in [1]. The convergence results are given in quantitative form, using certain moduli of continuity. In the final part there are given a few exemplifications for discrete and integral type operators and, in particular, for Bernstein and Durrmeyer operators
DOI : 10.2298/FIL2108595P
Classification : 41A35, 41A65, 41A36, 41A25
Keywords: Urysohn operator, approximation by linear and positive operators, Durrmeyer-Bernstein operators, Kantorovici- Bernstein operators 
Cristina Maria Păcurar; Radu Păltănea. Approximation of generalized nonlinear Urysohn operators using positive linear operators. Filomat, Tome 35 (2021) no. 8, p. 2595 . doi: 10.2298/FIL2108595P
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     author = {Cristina Maria P\u{a}curar and Radu P\u{a}lt\u{a}nea},
     title = {Approximation of generalized nonlinear {Urysohn} operators using positive linear operators},
     journal = {Filomat},
     pages = {2595 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108595P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108595P/}
}
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