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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 \(\mathbb{N}\times \mathbb{N}\) 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:
40C05 Matrix methods for summability
40J05 Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX)
46A45 Sequence spaces (including Köthe sequence spaces)
40B05 Multiple sequences and series (should also be assigned at least one other classification number in this section)
40A35 Ideal and statistical convergence
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