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GENERALIZED ORLICZ SEQUENCE SPACES
Barekeng, 2023 Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan +5 more
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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
Journal of Mathematics, 2020 In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
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Packing constant for Cesàro-Orlicz sequence spaces [PDF]
Czechoslovak Mathematical Journal, 2016 Let \(X\) be a Banach space and \(B(X)\), \(S(X)\) denote the unit ball and the unit sphere of \(X\), respectively. A sequence of balls with centers at \(x_1, x_2, \dots\) in \(X\) and a fixed radius \(r>0\) is said to be packed into the unit ball if the following two conditions hold: (i) \(\|x_n\|\leq 1 -r\), \(n = 1, 2, \dots\); (ii) \(\|x_n-x_m ...
Zhenhua Ma, Lining Jiang, Qiaoling Xin
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Some properties of pre-quasi norm on Orlicz sequence space
Journal of Inequalities and Applications, 2020 In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
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On Orlicz Difference Sequence Spaces
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010 : 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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k-rotundity of Orlicz-Lorentz sequence spaces
Indian Journal of Pure and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zichen Wang, W. Gong
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Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces [PDF]
Journal of Inequalities and Applications, 2018 In this article, we establish sufficient conditions on the generalized Cesáro and Orlicz sequence spaces E $\mathbb{E}$ such that the class SE $S_{\mathbb{E}}$ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers
Nashat Faried, Awad A. Bakery
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Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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Complex Convexity of Orlicz Modular Sequence Spaces [PDF]
Journal of Function Spaces, 2016 The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence space lΦ,ρ, lΦ,
Lili Chen, Deyun Chen, Yang Jiang
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