Geodesic
Lacunary weak statistical convergence
Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 259-268

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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.
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.
DOI : 10.21136/MB.2011.141648
Classification : 40A05, 40A35, 46A25, 46B15
Keywords: weak convergence; statistical convergence; lacunary sequence; lacunary statistical convergence 
Nuray, Fatih. Lacunary weak statistical convergence. Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 259-268. doi: 10.21136/MB.2011.141648
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