Some new Lacunary strong convergent vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function

Raj, Kuldip and Sharma, Sunil K. (2012) Some new Lacunary strong convergent vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 28 (2). pp. 103-120. ISSN 0866-0174

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Abstract

In the present paper we introduce some vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong (A, u)-convergence, where A = (aik) is an infinite matrix of complex numbers and u = (ui) be any sequence of strictly positive real numbers. We also make an effort to study some topological properties and some inclusion relations between these spaces.

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