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Complex rotundity of Musielak--Orlicz function spaces equipped with the Orlicz norm
Publicationes Mathematicae Debrecen, 2004The authors study some aspects of the geometric theory of Musielak--Orlicz spaces. They prove in Musielak--Orlicz function spaces \(L^0_M\) equipped with the Orlicz norm some criteria for complex extreme points, complex local uniform rotundity, complex uniform rotundity and complex rotundity.
Hao, Cuixia, Liu, Lifang, Fang, Tingfu
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Conjugate Functionals and Orlicz Spaces
1985In this chapter, we consider the Orlicz spaces L H and L H* as generalizations of the Lebesgue spaces L p and L q respectively, where p, q > 1, p −1 + q −1 = 1 and explain the connection with conjugate functionals. Orlicz spaces were introduced by Orlicz in 1932.
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Orlicz function and Berezin radius inequalities
Asian-European Journal of MathematicsIn this paper, we derive several Berezin radius inequalities for bounded linear operators utilizing Orlicz functions. We establish new bounds that extend and refine existing inequalities in the literature. Additionally, connections to known Berezin radius inequalities are inferred.
Mehmet Gürdal +2 more
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(??, ?) - Double sequence spaces via Orlicz function
2020In this paper we define and study two concepts which arise from the notions of invariant means and de la Valle-Poussin mean namely: strongly double (Ã, a)- convergence defined by Orlicz function and uniform (??, ?-statistical convergence and establish natural characterization for the underline sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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Dynamic robust Orlicz premia and Haezendonck–Goovaerts risk measures
European Journal of Operational Research, 2021Fabio Bellini +2 more
exaly
Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces
Journal of Mathematical Analysis and Applications, 2021Kwok-Pun Ho
exaly
Characteristic of monotonicity of Orlicz function spaces equipped with the Orlicz norm
2013In this paper, the authors consider the characteristic of monotonicity of Orlicz function spaces equipped with Orlicz norm, and give lower and upper estimates for this characteristic. They apply a variety of techniques concerning Orlicz function spaces. Monotonicity has relationships to complex rotundities and their applications.
Foralewski, P. +3 more
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On some product-type operators from Hardy–Orlicz and Bergman–Orlicz spaces to weighted-type spaces
Applied Mathematics and Computation, 2014Benoit Sehba, Stevo Stević
exaly

