Sidel′nikov inequality
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N. O. Kotelina and A. B. Pevnyĭ
Translated by: A. Plotkin - St. Petersburg Math. J. 26 (2015), 351-356
- DOI: https://doi.org/10.1090/S1061-0022-2015-01342-3
- Published electronically: February 3, 2015
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Abstract:
The Sidel′nikov integral inequality was established in 1974 with a very difficult proof. A discrete version of this inequality was studied by Goethals and Seidel (1979) and by B. B. Venkov (2001). They found certain conditions under which equality occurs in the discrete inequality. In the paper, a simple proof of the Sidel′nikov inequality is suggested, based on an idea of Venkov.References
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Bibliographic Information
- N. O. Kotelina
- Affiliation: Syktyvkar State University, Oktyabr′skiĭ pr. 55, Syktyvkar 167001, Russia
- Email: nkotelina@gmail.com
- A. B. Pevnyĭ
- Affiliation: Syktyvkar State University, Oktyabr′skiĭ pr. 55, Syktyvkar 167001, Russia
- Email: pevnyi@syktsu.ru
- Received by editor(s): December 24, 2012
- Published electronically: February 3, 2015
- © Copyright 2015 American Mathematical Society
- Journal: St. Petersburg Math. J. 26 (2015), 351-356
- MSC (2010): Primary 26D15
- DOI: https://doi.org/10.1090/S1061-0022-2015-01342-3
- MathSciNet review: 3242039