Geodesic
Lacunary strong convergence with respect to a sequence of modulus functions
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 69-76.

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The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.
Classification : 40A05, 40F05, 40G99, 40J05, 46A45
Keywords: lacunary sequence; modulus function; statistical convergence; Banach space 
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Pehlivan, Serpil; Fisher, Brian. Lacunary strong convergence with respect to a sequence of modulus functions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 69-76. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a9/