Geodesic
Approximation by Sublinear Operators
George A. Anastassiou1 ; George A. Anastassiou
1Department of Mathematical Sciences, University of Memphis, USA
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 237-250 
George A. Anastassiou; George A. Anastassiou. Approximation by Sublinear Operators. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 237-250. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a7/
@article{AMUC_2018_87_2_a7,
     author = {George A. Anastassiou and George A. Anastassiou},
     title = { Approximation by {Sublinear} {Operators}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {237--250},
     year = {2018},
     volume = {87},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

Here we study the approximation of functions by positive sublinear operators under di¤erentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of a high order derivative of the function under approximation.