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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 3, Pages 105–111
DOI: https://doi.org/10.15393/j3.art.2019.6810 (Mi pa276) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Proof of a conjecture on Nielsen's β-function

L. Matejíčka

Faculty of Industrial Technologies in Púchov, Trenčín University of Alexander Dubček in Trenčín, I. Krasku 491/30, 02001 Púchov, Slovakia
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DOI: https://doi.org/10.15393/j3.art.2019.6810
Abstract: In this paper, an inequality for Nielsen's β-function is proved. The inequality was posed by Kwara Nantomah as a conjecture in 2019.
Keywords: Nielsen's β-function, inequality, harmonic mean.
Funding agency Grant number
Agentúra na Podporu Výskumu a Vývoja VEGA 1/0649/17
VEGA 1/0589/17
KEGA 007 TnUAD-4/2017
This work was supported by VEGA grant No. 1/0649/17, VEGA grant No. 1/0589/17, and by Kega grant No. 007 TnUAD-4/2017.
Received: 08.08.2019
Revised: 11.10.2019
Accepted: 08.10.2019
Bibliographic databases:
Document Type: Article
UDC: 517.51, 517.58
MSC: 26A48, 26A51, 39B62
Language: English
Citation: L. Matejíčka, “Proof of a conjecture on Nielsen's β-function”, Probl. Anal. Issues Anal., 8(26):3 (2019), 105–111
Citation in format AMSBIB
\Bibitem{Mat19}
\by L.~Matej{\'\i}{\v{c}}ka
\paper Proof of a conjecture on Nielsen's $\beta$-function
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 3
\pages 105--111
\mathnet{http://mi.mathnet.ru/pa276}
\crossref{https://doi.org/10.15393/j3.art.2019.6810}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000497499600010}
Linking options:
  • https://www.mathnet.ru/eng/pa276
  • https://www.mathnet.ru/eng/pa/v26/i3/p105
    • This publication is cited in the following 2 articles:
    1. Xue-Feng Han, Chao-Ping Chen, H.M. Srivastava, “Some new results related to the constant e and function (1+1/x)x”, Appl Anal Discrete Math, 18:1 (2024), 65  crossref
    2. Kwara Nantomah, “Harmonic Mean Inequalities for Hyperbolic Functions”, EJMS, 2021, 117  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
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    References:35
     
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