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Lacunary strong ( A σ , p ) -convergence

Tunay Bilgin (2005)

Czechoslovak Mathematical Journal

The definition of lacunary strongly convergence is extended to the definition of lacunary strong ( A σ , p ) -convergence with respect to invariant mean when A is an infinite matrix and p = ( p i ) is a strictly positive sequence. We study some properties and inclusion relations.

Lacunary strong convergence with respect to a sequence of modulus functions

Serpil Pehlivan, Brian Fisher (1995)

Commentationes Mathematicae Universitatis Carolinae

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.

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