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Some inequalities for functions having Orlicz-convexity
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriela Cristescu +3 more
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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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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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Maximal function f# being in an Orlicz class
Mathematical Notes of the Academy of Sciences of the USSR, 1989See the review in Zbl 0687.46016.
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Kadec-Klee property in Musielak-Orlicz function spaces equipped with the Orlicz norm
Aequationes Mathematicae, 2021Cui Yunan
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Orlicz function spaces without complemented copies ofl p
Israel Journal of Mathematics, 1986Francisco L Hernández
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Orlicz metrics for weak convergence of distribution functions
1986For a continuous Young function \(\phi\) and homeomorphism h between the unit interval \(I=[0,1]\) and the extended real line \(\bar R,\) define a metric \(d_{h,\phi}\) on distribution functions f, G by \(d_{h,\phi}(F,G)=\| F\circ h-G\circ h\|_{\phi}\), where \(\| \cdot \|_{\phi}\) denotes the Orlicz norm on the space \(L^{\phi}=L^{\phi}(I,B(I),\lambda)
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Strongly (Vλ,A,Δ(vm)n,p)-summable sequence spaces defined by an Orlicz function
Applied Mathematics Letters, 2011Hemen Dutta, Tunay Bilgin
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