Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-18T13:31:02.841Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Results on Generalized Lototsky Summability

Published online by Cambridge University Press:  20 November 2018

J. F. Miller
J. F. Miller*
Affiliation:
The Pennsylvania State UniversityThe Berks Campus Reading, PA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The (F, dn) method is investigated with respect to perfectness, strong regularity, and summing bounded divergent sequences. In the process the columns of the inverse matrix are characterized in terms of {dn}.

Keywords

40G99perfectnessstrong regularitybounded divergent sequences
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 302 - 307
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Groetsch, C. W., Remarks on a Generalization of the Lototsky Summability Method, Boll. Un. Mat. Ital. 5 (4) (1972), pp. 277–288.Google Scholar
2. Jakimovski, A., A Generalization of the Lototsky Method of Summability, Mich. Math. J. 6 (1959), pp. 277–290.Google Scholar
3. Marsden, M. J., An Identity for Spline Functions to Variation — Diminishing Spline Approximation, J. of Approx. Theory 3 (1970), pp. 7–49.Google Scholar
4. Miller, J. F. and Skerry, H. B., Regular and Mer cerian Generalized Lototsky Method, Can. Math. Bull. 27(1)(1984), pp. 65–71.Google Scholar
5. Petersen, G. M., Regular Matrix Transformation, McGraw-Hill, 1966.Google Scholar
6. Smith, G., On the (f,dn) Method of Summability, Can. J. Math. 17 (1965), pp. 506–526.Google Scholar
7. Wilansky, A. and Zeller, K., Summation of Bounded Divergent Sequences, Topological Methods, Trans. Amer. Math. Soc. 78 (1955), pp. 501–509.Google Scholar