dc.contributor.author | Wituła, Roman | |
dc.contributor.editor | Filipczak, Małgorzata | |
dc.contributor.editor | Wagner-Bojakowska, Elżbieta | |
dc.date.accessioned | 2019-05-28T11:34:34Z | |
dc.date.available | 2019-05-28T11:34:34Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Wituła R., Decompositions of permutations of N with respect to divergent permutations, [w:] Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Filipczak M., Wagner-Bojakowska E. (red.), Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 473-490, doi: 10.18778/7525-971-1.27 | pl_PL |
dc.identifier.isbn | 978-83-7525-971-1 | |
dc.identifier.uri | http://hdl.handle.net/11089/28721 | |
dc.description.sponsorship | Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Filipczak M., Wagner-Bojakowska E. (red.), Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013; | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | divergent permutations | pl_PL |
dc.subject | convergent permutations | pl_PL |
dc.subject | sum-preserving permutations | pl_PL |
dc.title | Decompositions of permutations of N with respect to divergent permutations | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 473-490 | pl_PL |
dc.contributor.authorAffiliation | Silesian University of Technology, Institute of Mathematics | pl_PL |
dc.references | R. P. Agnew, Permutations preserving convergence of series, Proc. Amer. Math. Soc. 6 (1955), 563–564. | pl_PL |
dc.references | A. S. Kronrod, On permutation of terms of numerical series, Mat. Sbornik 60(2) (1946), 237–280 (in Russian). | pl_PL |
dc.references | P. A. B. Pleasants, Rearrangements that preserve convergence, J. London Math. Soc. 15, II. Ser. (1977), 134–142. | pl_PL |
dc.references | P. A. B. Pleasants, Addendum: Rearrangements that preserve convergence, J. Lond. Math. Soc. 18, II. Ser. (1978), 576. | pl_PL |
dc.references | P. Schaefer, Sum-preserving rearrangemments of infinite series, Amer. Math. Monthly 88 (1981), 33–40. | pl_PL |
dc.references | P. Schaefer, Sums of rearranged series, College Math. J. 17 (1986), 66–70. | pl_PL |
dc.references | R.Wituła, On the set of limit points of the partial sums of series rearranged by a given divergent permutation, J. Math. Anal. Appl. 362 (2010), 542–552. | pl_PL |
dc.references | R. Wituła, Permutations Preserving Sums of Rearranged Real Series, Cent. Eur. J. Math. 11 (2013), 956–965. | pl_PL |
dc.references | R. Wituła, The family F of permutations of N, Math. Slovaca (in press). | pl_PL |
dc.references | R. Wituła, Algebraic and set-theoretical properties of some subsets of families of convergent and divergent permutations, Tatra Mountains Math. Publ. 55 (2013), 27–36. | pl_PL |
dc.references | R. Wituła, Algebraic properties of the convergent and divergent permutations, Filomat (in review). | pl_PL |
dc.references | R. Wituła, D. Słota, R. Seweryn, On Erdos’ theorem for monotonic subsequences, Demonstratio Math. 40 (2007), 239–259. | pl_PL |
dc.contributor.authorEmail | roman.witula@polsl.pl | pl_PL |
dc.identifier.doi | 10.18778/7525-971-1.27 | |
dc.subject.msc | 40A05 | |
dc.subject.msc | 05A99 | |