Translator Disclaimer
June 1991 On iterated weighted means of bounded sequences and uniform distribution
Michael Drmota
Tsukuba J. Math. 15(1): 249-260 (June 1991). DOI: 10.21099/tkbjm/1496161587

Abstract

It is proved that natural conditions on the weights $p_{n}$ all weighted Hölder and Cesaro means are equivalent to a generalized Abel method for bounded sequences. Furthermore it is shown that the induced $\infty$-limitation methods are equivalent to a uniform limitation method. At last some applications to the theory of uniform distribution of sequences in compact spaces are given.

Citation

Download Citation

Michael Drmota. "On iterated weighted means of bounded sequences and uniform distribution." Tsukuba J. Math. 15 (1) 249 - 260, June 1991. https://doi.org/10.21099/tkbjm/1496161587

Information

Published: June 1991
First available in Project Euclid: 30 May 2017

zbMATH: 0729.40003
MathSciNet: MR1118602
Digital Object Identifier: 10.21099/tkbjm/1496161587

Rights: Copyright © 1991 University of Tsukuba, Institute of Mathematics

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.15 • No. 1 • June 1991
Back to Top