Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472]. Our definition of ideal equal convergence encompasses two different kinds of ideal equal convergence introduced in [Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177]_and [Filipów R., Szuca P., Three kinds of convergence and the associated I-Baire classes, J. Math. Anal. Appl., 2012, 391(1), 1–9]. We also solve a few problems posed in the paper by Das, Dutta and Pal.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
896-910
Opis fizyczny
Daty
wydano
2014-06-01
online
2014-03-19
Twórcy
autor
- University of Gdańsk, rfilipow@mat.ug.edu.pl
autor
- University of Gdańsk, Marcin.Staniszewski@mat.ug.edu.pl
Bibliografia
- [1] Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472
- [2] Császár Á., Laczkovich M., Some remarks on discrete Baire classes, Acta Math. Acad. Sci. Hungar., 1979, 33(1–2), 51–70 http://dx.doi.org/10.1007/BF01903381
- [3] Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177
- [4] Filipów R., Szuca P., Three kinds of convergence and the associated -Baire classes, J. Math. Anal. Appl., 2012, 391(1), 1–9 http://dx.doi.org/10.1016/j.jmaa.2012.02.041
- [5] Hernández-Hernández F., Hrušák M., Cardinal invariants of analytic P-ideals, Canad. J. Math., 2007, 59(3), 575–595 http://dx.doi.org/10.4153/CJM-2007-024-8
- [6] Kostyrko P., Šalát T., Wilczyński W., -convergence, Real Anal. Exchange, 2000/01, 26(2), 669–685
- [7] Mačaj M., Sleziak M., -convergence, Real Anal. Exchange, 2010/11, 36(1), 177–193
- [8] Todorčevic S., Analytic gaps, Fund. Math., 1996, 150(1), 55–66
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0388-4