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On Gasparyan’s Inequality

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For a Gasparyan inequality we propose a new proof based on standard methods of analysis. As a consequence, we improve an inequality for combinations of power means. Bibliography: 13 titles.

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References

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  13. S. M. Sitnik, “Generalized Young and Cauchy–Bunyakowsky Inequalities with Applications: A Survey” arXiv:1012.3864.

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Authors and Affiliations

  1. Syktyvkar State University, 55, Oktyabr’skii pr., Syktyvkar, 167001, Russia

    A. B. Pevnyi

  2. Voronezh Institute of the Ministry of Internal Affairs of Russia, 53, pr. Patriotov, Voronezh, 394065, Russia

    S. M. Sitnik

Authors
  1. A. B. Pevnyi
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  2. S. M. Sitnik
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Correspondence to A. B. Pevnyi.

Additional information

Translated from Problemy Matematicheskogo Analiza 77, December 2014, pp. 159-162.

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Pevnyi, A.B., Sitnik, S.M. On Gasparyan’s Inequality. J Math Sci 205, 304–307 (2015). https://doi.org/10.1007/s10958-015-2249-0

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  • DOI: https://doi.org/10.1007/s10958-015-2249-0

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