Serpil Pehlivan, Brian Fisher
Lacunary strong convergence with respect to a sequence of modulus functions

Comment.Math.Univ.Carolinae 36,1 (1995) 71-78.

Abstract: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.

Keywords: lacunary sequence, modulus function, statistical convergence, Banach space
AMS Subject Classification: 40A05, 40F05

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