THE SPEED OF CONVERGENCE OF THE RIEMANN SUMS WITH APPLICATIONS TO GAMMA
FUNCTION
CRISTINEL MORTICI Valahia University of TârgoviĹte, Department of Mathematics
Bd. Unirii 18, 130082 TârgoviĹte, ROMANIA, email: cmortici@valahia.ro
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.