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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 262–269
DOI: https://doi.org/10.4213/mzm2807 (Mi mzm2807) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Comparison of Discrete Mixed Means Containing Symmetric Functions

R. Kh. Sadikova

M. V. Lomonosov Moscow State Academy of Fine Chemical Technology
Full-text PDF (356 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2807
Abstract: We prove inequalities for mixed generalized means; from these inequalities we obtain analogs or generalizations of inequalities due to Ness, to Carlson, Meany, and Nelson, to Godunova, and to Marcus and Minc, etc.
Keywords: discrete mixed mean, strictly monotone continuous function, generalized mean, concave and convex function, symmetric function, Jessen's inequality, Jensen's inequality.
Received: 13.05.2003
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 254–260
DOI: https://doi.org/10.1007/s11006-006-0134-3
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: R. Kh. Sadikova, “Comparison of Discrete Mixed Means Containing Symmetric Functions”, Mat. Zametki, 80:2 (2006), 262–269; Math. Notes, 80:2 (2006), 254–260
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm2807
  • https://doi.org/10.4213/mzm2807
  • https://www.mathnet.ru/eng/mzm/v80/i2/p262
    • This publication is cited in the following 4 articles:
    1. Pales Z., Pasteczka P., “On the Jensen Convex and Jensen Concave Envelopes of Means”, Arch. Math., 116:4 (2021), 423–432  crossref  mathscinet  isi
    2. Pasteczka P., “On the Hardy Property of Mixed Means”, Math. Inequal. Appl., 24:3 (2021), 873–885  crossref  mathscinet  isi  scopus
    3. Pales Z., Pasteczka P., “On Kedlaya-Type Inequalities For Weighted Means”, J. Inequal. Appl., 2018, 99  crossref  mathscinet  isi
    4. Pasteczka P., “on Some Hardy Type Inequalities Involving Generalized Means”, Publ. Math.-Debr., 87:1-2 (2015), 167–173  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:54
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