Results 41 to 50 of about 3,840,217 (214)
The Banach-Saks Properties in Orlicz-Lorentz Spaces
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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Orlicz Mean Dual Affine Quermassintegrals
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
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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N-Tuples of weighted noncommutative Orlicz space and some geometrical properties
In this article, we present a new concept named the N-tuples weighted noncommutative Orlicz space ⊕j=1nLp,λ(Φj)(ℳ˜,τ){\oplus }_{j=1}^{n}{L}_{p,\lambda }^{\left({\Phi }_{j})}\left(\widetilde{{\mathcal{ {\mathcal M} }}},\tau ), where L(Φj)(ℳ˜,τ){L}^{\left({
Bo Liu +4 more
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan +1 more
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
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Normal structure and weakly normal structure of Orlicz spaces [PDF]
summary:Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every ...
Chen, Shutao, Duan, Yanzheng
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Entropy and renormalized solutions for a nonlinear elliptic problem in Musielak-Orlicz spaces
In this paper, we establish the equivalence of entropy and renormalized solutions of second-order elliptic equations with nonlinearities defined by the Musielak-Orlicz functions and the right-hand side from the space L1(Ω).
L. M. Kozhevnikova
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AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
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