$\mu$-statistically convergent function sequences

Duman, Oktay, and Orhan, Cihan. "$\mu $-statistically convergent function sequences." Czechoslovak Mathematical Journal 54.2 (2004): 413-422. <http://eudml.org/doc/30871>.

@article{Duman2004,
abstract = {In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence.},
author = {Duman, Oktay, Orhan, Cihan},
journal = {Czechoslovak Mathematical Journal},
keywords = {pointwise and uniform convergence; $\mu $-statistical convergence; convergence in $\mu $-density; finitely additive measure; additive property for null sets; pointwise and uniform convergence; -statistical convergence; convergence in -density; finitely additive measure; additive property for null sets},
language = {eng},
number = {2},
pages = {413-422},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$\mu $-statistically convergent function sequences},
url = {http://eudml.org/doc/30871},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Duman, Oktay
AU - Orhan, Cihan
TI - $\mu $-statistically convergent function sequences
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 413
EP - 422
AB - In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence.
LA - eng
KW - pointwise and uniform convergence; $\mu $-statistical convergence; convergence in $\mu $-density; finitely additive measure; additive property for null sets; pointwise and uniform convergence; -statistical convergence; convergence in -density; finitely additive measure; additive property for null sets
UR - http://eudml.org/doc/30871
ER -