Geodesic
An example of a function which is Denjoy integrable but not Khinchin summable
Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 295-300

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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. 
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     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},
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     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a6/}
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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/