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One-complemented subspaces of Musielak–Orlicz sequence spaces
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James Jamison +2 more
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In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
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Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces. [PDF]
Faried N, Bakery AA.
europepmc +3 more sources
On Orlicz Difference Sequence Spaces
: The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
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A novel sequence space related to [Formula: see text] defined by Orlicz function with application in pattern recognition. [PDF]
Khan MS, Lohani QD.
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A note on Cesàro–Orlicz sequence spaces
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Contractive projections in Orlicz sequence spaces [PDF]
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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Embedding Orlicz Sequence Spaces into $C(α)$
Let $M$ be a non-degenerate Orlicz function such that there exist $\ep > 0$ and $0 < s < 1$ with $\su M(\ep s^i)/M(s^i) < \infty$. It is shown that the Orlicz sequence space $h_M$ is isomorphic to a subspace of $C(\om^\om)$. It is also shown that for any non-degenerate Orlicz function $M$, $h_M$ does not embed into $C(\al)$ for any $\al <
Denny H. Leung
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Generalized difference sequence spaces on seminormed space defined by Orlicz functions [PDF]
Binod Chandra Tripathy +2 more
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Lacunary sequence spaces defined by Musielak-Orlicz function
In this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces.
Kuldip Raj, Sunil K. Sharma
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