Geodesic
Proof of a conjecture on Nielsen's $\beta$-function
Problemy analiza, Tome 8 (2019) no. 3, pp. 105-111

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, an inequality for Nielsen's $\beta$-function is proved. The inequality was posed by Kwara Nantomah as a conjecture in 2019.
Keywords: Nielsen's $\beta$-function, inequality, harmonic mean. 
@article{PA_2019_8_3_a9,
     author = {L. Matej{\'\i}\v{c}ka},
     title = {Proof of a conjecture on {Nielsen's} $\beta$-function},
     journal = {Problemy analiza},
     pages = {105--111},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2019_8_3_a9/}
}
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L. Matejíčka. Proof of a conjecture on Nielsen's $\beta$-function. Problemy analiza, Tome 8 (2019) no. 3, pp. 105-111. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a9/