Geodesic
Optimal weighted harmonic interpolations between Seiffert means
Alfred Witkowski1
1 Institute of Mathematics and Physics University of Technology and Life Sciences Al. Prof. Kaliskiego 7 85-789 Bydgoszcz, Poland
Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 265-279

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We provide a set of optimal estimates of the form $$ \frac {1-\mu }{\mathcal {A}(x,y)}+ \frac {\mu }{\mathcal {M}(x,y)}\leq \frac {1}{\mathcal {B}(x,y)}\leq \frac {1-\nu }{\mathcal {A}(x,y)}+ \frac {\nu }{\mathcal {M}(x,y)} $$ where $\mathcal {A}\mathcal {B}$ are two of the Seiffert means $L,P,M,T$, while $\mathcal {M}$ is another mean greater than the two.
DOI : 10.4064/cm130-2-8
Keywords: provide set optimal estimates form frac mathcal frac mathcal leq frac mathcal leq frac mathcal frac mathcal where mathcal mathcal seiffert means t while mathcal another mean greater

Alfred Witkowski 1

1 Institute of Mathematics and Physics University of Technology and Life Sciences Al. Prof. Kaliskiego 7 85-789 Bydgoszcz, Poland 
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Alfred Witkowski. Optimal weighted harmonic interpolations
 between Seiffert means. Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 265-279. doi: 10.4064/cm130-2-8

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