Results 11 to 20 of about 6,800 (182)
The Bernstein–Orlicz norm and deviation inequalities [PDF]
Probability Theory and Related Fields, 2012 We introduce two new concepts designed for the study of empirical processes. First, we introduce a new Orlicz norm which we call the Bernstein-Orlicz norm. This new norm interpolates sub-Gaussian and sub-exponential tail behavior. In particular, we show how this norm can be used to simplify the derivation of deviation inequalities for suprema of ...
van de Geer Sara, Lederer Johannes
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Amemiya norm equals Orlicz norm in general
Indagationes Mathematicae, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Maligranda, Lech
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Orlicz spaces equipped with s-norms
Journal of Mathematical Analysis and Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marek Wisła
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β Property in Orlicz Sequence Spaces Equipped with s-norm
Journal of Harbin University of Science and Technology, 2022 Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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Geometric properties of F-normed Orlicz spaces [PDF]
Aequationes mathematicae, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan +3 more
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Inclusion Properties of Henstock-Orlicz Spaces
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-Kurzweil integrable functions.
Elin Herlinawati
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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