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.


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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