Abstract
The purpose of this paper is to establish some results about the convergence speed of the Riemann sums and to use them to give some properties related with Gamma function. A new proof of the Stirling's formula is given, then we pass to the continuous case, using the Croft's lemma.
Cuvinte cheie
Riemann sums
speed of convergence
Croft's lemma
Gamma function
Stirling's formula.