Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-31T05:36:56.145Z Has data issue: false hasContentIssue false
  • English
  • Français

Telescoping Estimates for Smooth Series

Published online by Cambridge University Press:  20 November 2018

Karl Joachim Wirths
Karl Joachim Wirths*
Affiliation:
Institut für Analysis und Algebra, TU Braunschweig, 38106 Braunschweig, Germany. e-mail: kjwirths@tu-bs.de
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.

We derive telescoping majorants and minorants for some classes of series and give applications of these results.

Keywords

26D1540A2597I30telescoping seriesStietjes constantHardy's formulaStirling's formula
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 1 , 01 March 2015 , pp. 188 - 195
Copyright
Copyright © Canadian Mathematical Society 2015

References

[1] Erwe, F., Differential- und Integralrechnung I. B.I.-Hochschultaschenbücher, Bonn, 1962.Google Scholar
[2] Gräter, J. and Wirths, K.-J., On elementary bounds for Σ∞ k=n k -s . Amer. Math. Monthly, to appear.Google Scholar
[3] Hardy, G. H., Divergent series. Chelsea Publishing Company, New York, 1991.Google Scholar
[4] Havil, J., Gamma: Exploring Euler's Constant. Princeton University Press, Princeton, NJ, 2003.Google Scholar
[5] Liang, J. J. Y. and Todd, J., The Stieltjes Constants. J. Res. Nat. Bur. Standards Sect. B 76B (1972), 161–178. http://dx.doi.org/10.6028/jres.076B.012 Google Scholar