Geodesic
Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals
Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 428-441

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

We obtain exact rational approximation orders for functions expressible as Riemann–Liouville and Weyl fractional integrals. New results and the strengthening and generalization of theorems due to Popov, Petrusheva, Pekarskii, Rusak, and the author, which are well known in the theory of rational approximation of differentiable functions, are obtained as consequences of theorems due to Pekarskii related to rational approximation of functions from the Hardy–Sobolev classes in the unit disk. 
@article{MZM_2005_78_3_a9,
     author = {A. P. Starovoitov},
     title = {Rational {Approximations} of {Riemann--Liouville} and {Weyl} {Fractional} {Integrals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {428--441},
     publisher = {mathdoc},
     volume = {78},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a9/}
}
TY  - JOUR
AU  - A. P. Starovoitov
TI  - Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals
JO  - Matematičeskie zametki
PY  - 2005
SP  - 428
EP  - 441
VL  - 78
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a9/
LA  - ru
ID  - MZM_2005_78_3_a9
ER  - 
%0 Journal Article
%A A. P. Starovoitov
%T Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals
%J Matematičeskie zametki
%D 2005
%P 428-441
%V 78
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a9/
%G ru
%F MZM_2005_78_3_a9
A. P. Starovoitov. Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals. Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 428-441. http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a9/