Geodesic
On the inequalities for the volume of the unit ball $\Omega_{n}$ in $\mathbb{R}^{n}$
Problemy analiza, Tome 4 (2015) no. 2, pp. 12-22

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

The inequalities about the volume of the unit ball $\Omega_n$ in $\mathbb{R}^n$ were studies by several authors, especially Horst Alzer has a great contribution to this topic. Thereafter many authors produced numerous papers on this topic. Motivated by the work of the several authors, we make a contribution to the topic by giving the new inequalities about the volume of the unit ball $\Omega_n$. Our inequalities refine the recent results existing in the literature.
Keywords: inequalities, gamma function, psi function, volume of the unit ball. 
@article{PA_2015_4_2_a1,
     author = {B. A. Bhayo},
     title = {On the inequalities for the volume of the unit ball $\Omega_{n}$ in $\mathbb{R}^{n}$},
     journal = {Problemy analiza},
     pages = {12--22},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2015_4_2_a1/}
}
TY  - JOUR
AU  - B. A. Bhayo
TI  - On the inequalities for the volume of the unit ball $\Omega_{n}$ in $\mathbb{R}^{n}$
JO  - Problemy analiza
PY  - 2015
SP  - 12
EP  - 22
VL  - 4
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PA_2015_4_2_a1/
LA  - en
ID  - PA_2015_4_2_a1
ER  - 
%0 Journal Article
%A B. A. Bhayo
%T On the inequalities for the volume of the unit ball $\Omega_{n}$ in $\mathbb{R}^{n}$
%J Problemy analiza
%D 2015
%P 12-22
%V 4
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PA_2015_4_2_a1/
%G en
%F PA_2015_4_2_a1
B. A. Bhayo. On the inequalities for the volume of the unit ball $\Omega_{n}$ in $\mathbb{R}^{n}$. Problemy analiza, Tome 4 (2015) no. 2, pp. 12-22. http://geodesic.mathdoc.fr/item/PA_2015_4_2_a1/