Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0628.40002
Rath, D.
A note on series and sequences. (English)
[J] Indian J. Pure Appl. Math. 18, 625-629 (1987). ISSN 0019-5588; ISSN 0975-7465/e

A classical theorem by Pringsheim asserts that if $(a\sb n)$ is nonnegative, nonincreasing and if $\sum a\sb n$ converges, then $na\sb n\to 0$, as $n\to \infty$. In this note, some extensions and improvements of this result are considered which are then used to derive some properties of hyperconvex sequences analogous to those for convex sequences.

MSC 2000:: *40A05 Convergence of series and sequences

Keywords: hyperconvex sequences

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]