Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
Anastassiou, George A.
CUBO, A Mathematical Journal, Tome 20 (2018), 16 p. / Harvested from Cubo, A Mathematical Journal
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A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function.For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.

Publié le : 2018-10-01
DOI : https://doi.org/10.4067/S0719-06462018000100001 
@article{1895,
     title = {Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators},
     journal = {CUBO, A Mathematical Journal},
     volume = {20},
     year = {2018},
     doi = {10.4067/S0719-06462018000100001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1895}
}

Anastassiou, George A. Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators. CUBO, A Mathematical Journal, Tome 20 (2018) 16 p. doi : 10.4067/S0719-06462018000100001. http://gdmltest.u-ga.fr/item/1895/