Geodesic
On the dependence of properties of the graph of a function on the degree of various approximations
Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 155-177

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper studies the dependence of the properties of a function on the degree of its approximation by piecewise monotone functions (in particular, by rational functions and polynomials) in the uniform and Hausdorff metrics, i.e., inverse theorems in the theory of approximation. Of interest are properties related to the Hausdorff dimension and measure of the set of points of discontinuity and to the graph of a function. 
@article{IM2_1992_38_1_a6,
     author = {A. P. Petukhov},
     title = {On the dependence of properties of the graph of a function  on the degree of various approximations},
     journal = {Izvestiya. Mathematics },
     pages = {155--177},
     publisher = {mathdoc},
     volume = {38},
     number = {1},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a6/}
}
TY  - JOUR
AU  - A. P. Petukhov
TI  - On the dependence of properties of the graph of a function  on the degree of various approximations
JO  - Izvestiya. Mathematics 
PY  - 1992
SP  - 155
EP  - 177
VL  - 38
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a6/
LA  - en
ID  - IM2_1992_38_1_a6
ER  - 
%0 Journal Article
%A A. P. Petukhov
%T On the dependence of properties of the graph of a function  on the degree of various approximations
%J Izvestiya. Mathematics 
%D 1992
%P 155-177
%V 38
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a6/
%G en
%F IM2_1992_38_1_a6
A. P. Petukhov. On the dependence of properties of the graph of a function  on the degree of various approximations. Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 155-177. http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a6/