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. 
@article{10_4064_am2400_1_2020,
     author = {George A. Anastassiou},
     title = {Generalized $g$-iterated fractional approximations by sublinear operators},
     journal = {Applicationes Mathematicae},
     pages = {273--291},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2020},
     doi = {10.4064/am2400-1-2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2400-1-2020/}
}
TY  - JOUR
AU  - George A. Anastassiou
TI  - Generalized $g$-iterated fractional approximations by sublinear operators
JO  - Applicationes Mathematicae
PY  - 2020
SP  - 273
EP  - 291
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2400-1-2020/
DO  - 10.4064/am2400-1-2020
LA  - en
ID  - 10_4064_am2400_1_2020
ER  - 
%0 Journal Article
%A George A. Anastassiou
%T Generalized $g$-iterated fractional approximations by sublinear operators
%J Applicationes Mathematicae
%D 2020
%P 273-291
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2400-1-2020/
%R 10.4064/am2400-1-2020
%G en
%F 10_4064_am2400_1_2020
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

Cité par Sources :