Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 295-300
Citer cet article
V. S. Shul'man. An example of a function which is Denjoy integrable but not Khinchin summable. Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 295-300. http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a6/
@article{MZM_1971_10_3_a6,
author = {V. S. Shul'man},
title = {An example of a function which is {Denjoy} integrable but not {Khinchin} summable},
journal = {Matemati\v{c}eskie zametki},
pages = {295--300},
year = {1971},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a6/}
}
TY - JOUR
AU - V. S. Shul'man
TI - An example of a function which is Denjoy integrable but not Khinchin summable
JO - Matematičeskie zametki
PY - 1971
SP - 295
EP - 300
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a6/
LA - ru
ID - MZM_1971_10_3_a6
ER -
%0 Journal Article
%A V. S. Shul'man
%T An example of a function which is Denjoy integrable but not Khinchin summable
%J Matematičeskie zametki
%D 1971
%P 295-300
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a6/
%G ru
%F MZM_1971_10_3_a6
The following result is proven: if $\xi$ is irrational number “anomalously badly” approximable by rationals, then there are functions which are not Khinchin $\xi$-summable but which are Denjoy integrable.
