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On statistically lq-complete and c0s in measure convergences of sequences of measurable functions

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We introduce and study s-lq-complete and c0s-μ convergences, and we obtain a new result regarding statistical convergences of sequences of measurable functions.
Wydawca
Rocznik
Strony
163--168
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
  • Department of Mathematics, Section of Mathematical Analysis, University of Athens, Panepistemioupolis, 157 84 Athens, Greece
  • Department of Mathematics, Section of Mathematical Analysis, University of Athens, Panepistemioupolis, 157 84 Athens, Greece
autor
  • Department of Mathematics, University of Athens, Panepistemioupolis, 157 84 Athens, Greece
Bibliografia
  • [1] R. C. Buck, Generalized asymptotic density, Amer. J. Math. 75 (1953), 335-346.
  • [2] J. Connor, Two valued measures and summability, Analysis 10 (1990), no. 4, 373-385.
  • [3] P. Das, P. Kostyrko, W. Wilczyński and P. Malik, I and I*-convergence of double sequences, Math. Slovaca 58 (2008), no. 5, 605-620.
  • [4] H. Fast, Sur la convergence statistique, Coll. Math. 2 (1951), 214-244.
  • [5] J. A. Fridy, On statistical convergence, Analysis 5 (1985), 301-313.
  • [6] C. Papachristodoulos, N. Papanastassiou and W. Wilczyński, p-q-convergence of sequence measurable functions, Topology Appl. 158(2011), no. 12,1478-1492.
  • [7] N. Papanastasiou and C. Papachristodoulos, p-convergence in measure of a function of measurable functions and corresponding minimal elements of Co, Positivity 13 (2009), no. 1, 243-253.
  • [8] N. Papanastasiou and C. Papachristodoulos, On statical versions of several modes of convergences of sequences of measurable functions, in preparation.
  • [9] I. J. Sember and A. R. Freeman, On summing sequences of 0's and 1's., Rocky Mountain J. Math. 11 (1981), no. 3, 419-425.
  • [10] W. Sierpiński, Sur les fontions d'enseble additives et continues, Fund. Math. 3 (1922), 240-246.
  • [11] A. Zygmund, Trigonometric Series. Volumes I and II, 3rd ed., Cambridge Math. Lib., Cambridge University Press, Cambridge, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-729ac6cf-eda2-4412-828f-a59f50eaeab4
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