Lacunary weak statistical convergence

@article{Nuray2011,
abstract = {The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and $\mathcal \{I\}$-convergence to weak $\mathcal \{I\}$-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.},
author = {Nuray, Fatih},
journal = {Mathematica Bohemica},
keywords = {weak convergence; statistical convergence; lacunary sequence; lacunary statistical convergence; weak convergence; statistical convergence; lacunary sequence; lacunary statistical convergence},
language = {eng},
number = {3},
pages = {259-268},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lacunary weak statistical convergence},
url = {http://eudml.org/doc/196737},
volume = {136},
year = {2011},
}

TY - JOUR
AU - Nuray, Fatih
TI - Lacunary weak statistical convergence
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 3
SP - 259
EP - 268
AB - The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and $\mathcal {I}$-convergence to weak $\mathcal {I}$-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.
LA - eng
KW - weak convergence; statistical convergence; lacunary sequence; lacunary statistical convergence; weak convergence; statistical convergence; lacunary sequence; lacunary statistical convergence
UR - http://eudml.org/doc/196737
ER -