On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence

On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence

In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q-lacunary Δnm-statis...

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Bibliographic Details
Main Authors: Tripathy Binod Chandra, Dutta Hemen
Format: Article
Language:English
Published: Sciendo 2012-05-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
orlicz function
lacunary sequence
seminorm
statistical convergence
Online Access:https://doi.org/10.2478/v10309-012-0028-1

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