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Telescoping Estimates for Smooth Series

  • Karl Joachim Wirths (a1)
Abstract

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

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[1] Erwe, F., Differential- und Integralrechnung I. B.I.-Hochschultaschenbücher, Bonn, 1962.
[2] Gräter, J. and Wirths, K.-J., On elementary bounds for Σ k=n k -s . Amer. Math. Monthly, to appear.
[3] Hardy, G. H., Divergent series. Chelsea Publishing Company, New York, 1991.
[4] Havil, J., Gamma: Exploring Euler's Constant. Princeton University Press, Princeton, NJ, 2003.
[5] Liang, J. J. Y. and Todd, J., The Stieltjes Constants. J. Res. Nat. Bur. Standards Sect. B 76B (1972), 161178. http://dx.doi.org/10.6028/jres.076B.012
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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