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Matematicheskie Zametki, 1971, Volume 10, Issue 3, Pages 295–300 (Mi mzm9716)  
An example of a function which is Denjoy integrable but not Khinchin summable

V. S. Shul'man

Mathematics and Mechanics Institute, Academy of Sciences of the Azerbaidzhan SSR
Full-text PDF (396 kB)
Abstract: 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.
Received: 21.08.1969
English version:
Mathematical Notes, 1971, Volume 10, Issue 3, Pages 601–604
DOI: https://doi.org/10.1007/BF01464720
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. S. Shul'man, “An example of a function which is Denjoy integrable but not Khinchin summable”, Mat. Zametki, 10:3 (1971), 295–300; Math. Notes, 10:3 (1971), 601–604
Citation in format AMSBIB
\Bibitem{Shu71}
\by V.~S.~Shul'man
\paper An example of a function which is Denjoy integrable but not Khinchin summable
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 3
\pages 295--300
\mathnet{http://mi.mathnet.ru/mzm9716}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286979}
\zmath{https://zbmath.org/?q=an:0217.37302}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 3
\pages 601--604
\crossref{https://doi.org/10.1007/BF01464720}
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