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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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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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A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces
Nonlinear Analysis: Theory, Methods & Applications, 2018Iwona Chlebicka
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Fractional order Orlicz-Sobolev spaces
Journal of Functional Analysis, 2019Julian Fernandez Bonder, Ariel M Salort
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Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
SIAM Journal on Control and Optimization, 2018Birgit Jacob +2 more
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