Monatshefte für Mathematik

, Volume 103, Issue 3, pp 233–240

Some estimates of theH-uniform distribution

  • Peter Schatte

DOI: 10.1007/BF01364342

Cite this article as:
Schatte, P. Monatshefte für Mathematik (1987) 103: 233. doi:10.1007/BF01364342


The sequences (yn)=(a+blognn) are uniformly distributed in the sense of the summation methodH. In the present paper the speed of convergence of this procedure is estimated for these, sequences and for some other sequences. For the sequences (a+blogn) theH-means converge considerably faster than logarithmic means.

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Peter Schatte
    • 1
  1. 1.Sektion Mathematik der Bergakademie FreibergFreibergGerman Democratic Republic

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