ON THE INEQUALITIES FOR THE VOLUME OF THE UNIT BALL Ω_n IN R^n

Abstract

The inequalities about the volume of the unit ball Ω_n in 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 Ω_n. Our inequalities refine the recent results existing in the literature.

Keywords

• inequalities
• gamma function
• psi function
• volume of the unit ball.
• volume of the unit ball