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Some inequalities for functions having Orlicz-convexity

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriela Cristescu   +3 more
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Conjugate Functionals and Orlicz Spaces

1985
In 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.
openaire   +1 more source

Characteristic of monotonicity of Orlicz function spaces equipped with the Orlicz norm

2013
In 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
openaire   +1 more source

Maximal function f# being in an Orlicz class

Mathematical Notes of the Academy of Sciences of the USSR, 1989
See the review in Zbl 0687.46016.
openaire   +2 more sources

Orlicz function spaces without complemented copies ofl p

Israel Journal of Mathematics, 1986
Francisco L Hernández
exaly  

Orlicz metrics for weak convergence of distribution functions

1986
For 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, 2011
Hemen Dutta, Tunay Bilgin
exaly  

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