Best approximants in modular function spaces

DOI10.1016/0021-9045(90)90126-BzbMath0718.41049MaRDI QIDQ2639284

S. J. Kilmer, Grzegorz Lewicki, Wojciech M. Kozlowski

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

elements of best approximation in modular spaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Remainders in approximation formulas (41A80)

Related Items (10)

On fuzzy modular spaces ⋮ On modular approximants in sequential convergence spaces ⋮ A minimizing property of best monotone approximants on their level surfaces ⋮ Advancements in fixed point theory in modular function spaces ⋮ On relative weighted summability in modular function spaces and associated approximation theorems ⋮ Monotonicity and best approximation in Orlicz--Sobolev spaces with the Luxemburg norm ⋮ Further properties of Stepanov--Orlicz almost periodic functions ⋮ On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces ⋮ On asymptotic pointwise nonexpansive mappings in modular function spaces ⋮ Best Local Approximation in Orlicz Spaces

Cites Work

• Analyticity and polynomial approximation in modular function spaces
• Orlicz spaces and modular spaces
• Modular interpolation spaces. I
• On domains of some nonlinear operators
• Bernstein's ``Lethargy theorem in metrizable topological linear spaces
• Uniform inequalities for conditional \(p\)-means given \(\sigma\)-lattices
• Fixed point theory in modular function spaces
• Leja's type polynomial condition and polynomial approximation in Orlicz spaces
• Best approximants in L ? -spaces
• Best approximants in L 1 space
• An Introduction to Fixed Point Theory in Modular Function Spaces
• Almost everywhere convergence of prediction sequence in L p (1 < p < ?)
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