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The Riemann derangement theorem and divergent permutations Cover

The Riemann derangement theorem and divergent permutations

By: Roman Wituła  
Open Access
|Nov 2012

References

  1. [1] WITU_LA, R.: The algebraic properties of the convergent and divergent permutations, Filomat (submitted).
  2. [2] WITU_LA, R.: The family F of permutations of N, Positivity (submitted).
  3. [3] WITU_LA, R.-S_LOTA, D.-SEWERYN, R.: On Erd¨os’ theorem for monotonic subsequences, Demonstr. Math. 40 (2007), 239-259.
  4. [4] WITU_LA, R.: On the set of limit points of the partial sums of series rearranged by a givendivergent permutation, J. Math. Anal. Appl. 362 (2010), 542-552.10.1016/j.jmaa.2009.09.028
  5. [5] LEVI, F. W.: Rearrangement of convergent series, Duke Math. J. 13 (1946), 579-585.10.1215/S0012-7094-46-01348-8
  6. [6] WITU_LA, R.-HETMANIOK, E.-S_LOTA, D.: Some variation on the Riemann DerangementTheorem, Tatra Mt. Math. Publ. (submitted).
  7. [7] WITU_LA, R.: The Riemann theorem and divergent permutations, Colloq. Math. 69 (1995), 275-287.10.4064/cm-69-2-275-287
  8. [8] FILIP´OW, R.-SZUCA, P.: Rearrangement of conditionally convergent series on a smallset, J. Math. Anal. Appl. 362 (2010), 64-71.10.1016/j.jmaa.2009.07.029
  9. [9] PRUS-WI´SNIOWSKI, F.: Two refinements of the Riemann Derangement Theorem. In: Real Functions, Density Topology and Related Topics (M. Filipczak and E. Wagner- -Bojakowska, eds.), _L´od´z University Press, _L´od´z, 2011, pp. 165-172.
DOI: https://doi.org/10.2478/v10127-012-0028-6 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 75 - 82
Published on: Nov 19, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2012 Roman Wituła, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.