Uniform Distribution with Respect to Density-Reference-Cited by-同舟云学术

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Uniform Distribution with Respect to Density

Published:2017-06-27 Issue:1 Volume:12 Page:123-138
ISSN:2309-5377
Container-title:Uniform distribution theory
language:en
Short-container-title:

Author:

Cristea Ligia L.¹,Paštéka Milan²

Affiliation:

1. Karl-Franzens-Universität Graz, Institut für Mathematik und Wissenschaftliches Rechnen, Heinrichstrasse 36, 8010 Graz , Austria

2. Trnavska Univerzita, Pedagogická Fakulta, Priemyselná 4 P. O. BOX 9 918 43 Trnava , Slovakia

Abstract

Abstract The paper deals with a generalisation of uniform distribution. The analogues of Weyl’s criterion are derived.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

1. BINDER, C.: Über einen Satz von de Bruijn und Post, ¨Osterr. Akad. Wiss. Math.-Naturw. Kl. SB. II, 179 (1971), 233-251.

2. DE BRUIJN, N.G.-POST, K. A.: A remark on uniformly distributed sequences and Riemann integrability Indag. Math. 30 (1968), 149-150.

3. BUCK, R. C.: The measure theoretic approach to density, Amer. J. Math 68 (1946), 560-580.

4. CRISTEA, L. L.-PRODINGER, H.: Moments of distributions related to digital expansions, J. Math. Anal. Appl. 315 (2006), 606-625.

5. CRISTEA, L. L.-TICHY, R. F.: Discrepancies of point sequences on the Sierpi´nski carpet, Math. Slovaca, 53 (2003), no. 4, 351-367.

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