[Turkmath:9249] Announcement
Ugur Sazaklioglu
ugursazak at hotmail.com
3 Eki 2013 Per 13:18:16 EEST
Dear All,
Please find below information about the talk entitled
“On the equivalence of statistical convergence and convergence in density”.
You are cordially invited to attend this talk. Please visit http://www.fatih.edu.tr/?ulasimbuyukcekmece for transport information.
Sincerely Yours,
Prof. Eberhard Malkowsky
Department of Mathematics, Fatih
University, Buyukcekmece, Istanbul,
Turkey
Phone: +90 212 866 33 00 ext: 2107
Speaker : Prof. Jeff Connor, Ohio University, Athens, OH, USA
Abstract : A density µ:Γ→[0,1] is a finitely additive function defined on a field of
subsets Γ of a set X where µ has the properties that subsets of null sets are null sets, the
density of the space X is 1 and,
‘bounded’ sets are null sets. Densities can be used to define statistical
convergence and convergence in density: convergence in density implies
statistical convergence, but the converse is not true in general. During this
talk we will discuss convergence in density and statistical convergence for
sequences and functions in general, and give a characterization of when the two
definitions are equivalent.
Time : October 8, 2013, 14.00-15.00
Place : A-324, A Blok Toplantı
Salonu, Fatih University,
Istanbul
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