Strong solvability in Orlicz spaces

DOI10.3103/S1068362309050033zbMath1182.49005MaRDI QIDQ1049376

Dieter Müller-Wichards, Peter Kosmol

Publication date: 12 January 2010

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

optimization problemsRitz methodstrong solvabilitygreedy approximation

Mathematics Subject Classification ID

Newton-type methods (49M15) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• Orlicz spaces and modular spaces
• Convexity of Orlicz spaces
• Some geometric properties of the spheres in a normed linear space
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• Convex functions, monotone operators and differentiability
• Nonlinear methods of approximation
• Convergence of some greedy algorithms in Banach spaces
• Best approximation with respect to nearby norms
• Characterization of the subdifferentials of convex functions
• Linear functionals on Orlicz spaces: general theory
• Approximation of norms
• Construction of nearest points in the \(L^ p\), p even, and \(L^ \infty\) norms. I
• A course on optimization and best approximation
• Flache Konvexität und schwache Differenzierbarkeit
• Über Approximation stetiger Funktionen in Orliczräumen
• Flache Konvexität von Orliczräumen
• On the moduli of convexity and smoothness in Orlicz spaces
• On the moduli of convexity and smoothness
• Starke Lösbarkeit von Optimierungsaufgaben
• Reflexive Orlicz spaces have uniformly normal structure
• Wavelet bases in rearrangement invariant function spaces
• Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen
• Approximations in $L^p $ and Chebyshev Approximations
• The Hilbert Transform on Rearrangement-Invariant Spaces
• On the structure of the set of subsequential limit points of successive approximations
• Gradients of Convex Functions
• Convex Analysis
• A Bound on the Difference between the Chebyshev Norm and the Hölder Norms of a Function
• Locally Uniformly Convex Banach Spaces
• Greedy algorithms in Banach spaces
• Amemiya norm equals Orlicz norm in general

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