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Double lacunary density and lacunary statistical convergence of double sequences. (English) Zbl 1240.40021
Using Pringsheim’s notion of convergence for double sequences, the authors introduce the double lacunary density of subsets of × and study relations between this new density and lacunary statistical convergence of double sequences. There are some misprints and errors in the authors’ presentation.
MSC:
40C05Matrix methods in summability
40J05Summability in abstract structures
46A45Sequence spaces
40B05Multiple sequences and series
40A35Ideal and statistical convergence