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Uniform lacunary statistical convergence on time scales. (English) Zbl 1385.40004

Summary: We introduce \((\theta,m)\)-uniform lacunary density of any set and \((\theta,m)\)-uniform lacunary statistical convergence on an arbitrary time scale. Moreover, \((\theta,m)\)-uniform strongly \(p\)-lacunary summability and some inclusion relations about these new concepts are also presented.

MSC:

40A35 Ideal and statistical convergence
46A45 Sequence spaces (including Köthe sequence spaces)
26E70 Real analysis on time scales or measure chains
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