Open AccessApproximation of generalized nonlinear Urysohn operators using positive linear operators
Author(s) -
Cristina Maria Păcurar,
Radu Păltănea
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2108595p
Subject(s) - mathematics , generalization , convergence (economics) , type (biology) , nonlinear system , moduli , operator theory , mathematical analysis , pure mathematics , ecology , physics , quantum mechanics , economics , biology , economic growth
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.