Abstract
In this paper we introduce some new sequence spaces combining a lacunary sequence, an infinite matrix, a bounded sequence and an Orlicz function. We discuss some topological properties and establish some inclusion relations between these spaces. It is also shown that if a sequence is lacunary $A_{p}$-convergent with respect to an Orlicz function then it is lacunary strongly $S^{\theta}(A)$-statistically convergent.
Citation
Tunay Bilgin. "Lacunary $A_{p}$-summable sequence spaces defined by Orlicz functions." J. Math. Kyoto Univ. 46 (2) 367 - 376, 2006. https://doi.org/10.1215/kjm/1250281782
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