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THE SPEED OF CONVERGENCE OF THE RIEMANN SUMS WITH APPLICATIONS TO GAMMA FUNCTION


CRISTINEL MORTICI
Valahia University of Târgovişte, Department of Mathematics Bd. Unirii 18, 130082 Târgovişte, ROMANIA, email: cmortici@valahia.ro

Issue:

SSRSMI, Number 1, Volume XIX

Section:

Volume 19, Number 1

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.

Keywords:

Riemann sums, speed of convergence, Croft's lemma, Gamma function, Stirling's formula.

Code [ID]:

SSRSMI200901V19S01A0012 [0003017]

Full paper:

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