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Vietnam Journal of Mathematics 34:2(2006) 129-138 Lacunary Strongly Summable Sequences and $q$-Lacunary Almost Statistical Convergence  Rifat \sColak, B. C. Tripathy, and Mik\^{a}il Et Abstract.  A lacunary sequence is an increasing sequence $\theta =( k_{r})$ of positive integers such that $k_{0}=0$ and $k_{r}-k_{r-1}\rightarrow \infty $ as $r\rightarrow \infty.$ A sequence $x=( x_{k}) $ is called $q$-lacunary almost statistical convergent to $\xi$ provided that for each $\varepsilon >0,\;\,\lim_{r}( k_{r}-k_{r-1}) ^{-1}\{$ 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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