Czasopismo
2006
|
Vol. 39, nr 1
|
107-116
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
We introduce the concepts of strongly and weakly divergent permutations and consider some relations between them.
Czasopismo
Rocznik
Tom
Strony
107-116
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- Institute of Mathematics Silesian University of Technology ul. Kaszubska 23, 44-100 Gliwice, Poland, rowitula@zeus.polsl.gliwice.pl
Bibliografia
- [1] R.P. Agnew, Permutations preserving convergence of series, Proc. Amer. Math. Soc. 6 (1955), 563-564.
- [2] F. Garibay, P. Greenberg, L. Resendis, J.J. Rivaud, The geometry of sumpreserving permutations, Pacific J. Math. 135 (1988), 313-322.
- [3] U.C. Guha, On Levi's theorem on rearrangement of convergent series, Indian J. Math. 9 (1967), 91-93.
- [4] A.S. Kronrod, On rearrangements of scalar series, Mat. Sbornik 18 (1946), 237-277.
- [5] F.W. Levi, Rearrangement of convergent series, Duke Math. J. 13 (1946), 579-585.
- [6] P.A.B. Pleasant s, Rearrangements that preserve convergence, J. London Math. Soc. 15 (1977), 134-142.
- [7] M. Ali Sarigöl, Permutation preserving convergence and divergence of series, Bull. Inst. Math. Acad. Sinica 16 (1988), 221-227.
- [8] M. Ali Sarigöl, On absolute equivalence of permutation functions, Bull. Inst. Math. Acad. Sinica 19 (1991), 69-74.
- [9] P. Schaefer, Sum-preserving rearrangements of infinite series, Amer. Math.Monthly 88 (1981), 33-40.
- [10] G.S. Stoller, The convergence-preserving rearrangements of real infinite series, Pacific J. Math. 73 (1977), 227-231.
- [11] Q. Stout, On Levi's duality between permutations and convergent series, J. London Math. Soc. (2) 34 (1986), 67-80.
- [12] R. Witula, The Riemann theorem and divergent permutations, Colloq. Math. LXIX (1995), 275-287.
- [13] R. Witula, Convergence-Preserving Functions, Nieuw Arch. Wisk. 13 (1995), 31-35.
- [14] R. Witula, On the set of limit points of the partial sums of series rearranged by a given divergent permutation, J. Math. Anal. Appl., (to appear).
- [15] D. Słota, R. Wituła and R. Seweryn, On Erdö' theorem for monotonic subsequences, Demonstratio Math., (to appear).
- [16] R. Wituła, Convergent and divergent permutations, PhD Thesis, Silesian University, 1997.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0021-0012