Results 11 to 20 of about 993,596 (246)
I-convexity and Q-convexity in Orlicz–Bochner function spaces equipped with the Luxemburg norm
Annals of Functional Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gong, Wanzhong +2 more
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Weighted inequalities and applications to best local approximation in Luxemburg norm
Analysis in Theory and Applications, 2004 The authors use the following notation: \({I_\epsilon:=\{x\in{\mathbb R}^k:\;-\epsilon\leq x_i\leq\epsilon\} }\), \(B_\epsilon\) is the closed ball of radius \(\epsilon\) centered at \(0\), \(\Pi^r\) denotes the set of polynomials of degree at most \(r\). A function \(w\) is a weight function if it is positive a.e.
Cuenya, H. H. +2 more
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Journal of Mathematical Analysis and Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shang, Shaoqiang, Cui, Yunan
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ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
PAVEL MATEI
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The Best Constant of Norm Equivalence in Orlicz Space
Journal of Harbin University of Science and Technology, 2023 The Orlicz norm is equivalent to the Luxemburg norm. In 2011 , BANG H H, HOANG N V, HUY V N have obtained the best equivalent constant between the Orlicz norm and the Luxemburg norm in Orlicz space which generated by N-functions.
YANG Yabo, CUI Yunan
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Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
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The Sequence of Luxemburg Norms of Derivatives
Tokyo Journal of Mathematics, 1994 Let \(f\in C^ \infty (\mathbb{R})\) such that \(f^{(n)}\in L_ p (\mathbb{R})\) for each \(n\). In a previous paper [Proc. Am. Math. Soc. 108, 73-76 (1990; Zbl 0707.26015)], the first author has shown that the limit \(d= \lim_{n\to\infty} \| f^{(n)} \|^{1/n}_{L_ p}\) always exists and \(d= \sup\{| \xi|\): \(\xi\in \text{supp } \widehat {f}\}\), where \(\
BANG, Ha Huy, MORIMOTO, Mitsuo
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On the nonsquare constants of L(Φ)[0,+1) [PDF]
, 2002 Let L(Φ)[0,+1) be the Orlicz function space generated by N−function Φ(u) with Luxemburg norm. We show the exact nonsquare constant of it when the right derivative φ(t) of Φ(u) is convex or concave.Let L(Φ)[0,+1) be the Orlicz ...
Yan, Y. Q.
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When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?
Journal of Mathematical Analysis and Applications, 2020 Junta de Andalucía FQM ...
Ricardo del Campo +4 more
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Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces [PDF]
, 2009 We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipped with the Luxemburg norm.We give lower and upp er b ounds, involving moduli of ...
Delpech, Sylvain
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