
Vietnam Journal of Mathematics 34:2(2006)
129138

Lacunary Strongly Summable Sequences and qLacunary Almost Statistical
Convergence

Rifat Çolak, B. C.
Tripathy, and Mikâil Et

Abstract. A lacunary sequence is an
increasing sequence θ = (k_{r})
of positive integers such that k_{0
}= 0 and k_{r} k_{rl
}> ∞ as r > ∞. A sequence x = (x_{k}) is called qlacunary
almost statistical convergent to ξ provided that for each ε >
0, lim_{r}(k_{r }
k_{r}_{1})^{
1} the number of k : k_{r}_{1.}


2000 Mathematics Subject
Classification: 40A05, 40C05, 46A45.

Keywords: Statistical
convergence, lacunary sequence, Orlicz function, almost convergence.


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by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013

