Geodesic
Generalized $g$-iterated fractional approximations by sublinear operators
George A. Anastassiou1
1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A.
Applicationes Mathematicae, Tome 47 (2020) no. 2, pp. 273-291.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study approximation of functions by sublinear positive operators with applications to several max-product operators under generalized $g$-iterated fractional differentiability. Our work is based on our generalized $g$-iterated fractional results about positive sublinear operators. We produce Jackson type inequalities under iterated initial conditions. Our approach is quantitative by deriving inequalities with right hand sides involving the modulus of continuity of a generalized $g$-iterated fractional derivative of the function being approximated.
DOI : 10.4064/am2400-1-2020
Keywords: study approximation functions sublinear positive operators applications several max product operators under generalized g iterated fractional differentiability work based generalized g iterated fractional results about positive sublinear operators produce jackson type inequalities under iterated initial conditions approach quantitative deriving inequalities right sides involving modulus continuity generalized g iterated fractional derivative function being approximated

George A. Anastassiou 1

1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A. 
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George A. Anastassiou. Generalized $g$-iterated fractional approximations by sublinear operators. Applicationes Mathematicae, Tome 47 (2020) no. 2, pp. 273-291. doi : 10.4064/am2400-1-2020. http://geodesic.mathdoc.fr/articles/10.4064/am2400-1-2020/

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