Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls

DOI10.1006/jath.2001.3559zbMath0979.41017OpenAlexW1973684849MaRDI QIDQ5939936

Fernando D. Mazzone, Héctor H. Cuenya

Publication date: 21 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/6507b0a676edeb27a6bbd4dfadd3b4ef16a55da8

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (10)

Extended Best Polynomial Approximation Operator in Orlicz Spaces ⋮ The best constant approximant operators in Lorentz spaces \(\Gamma _{p,w}\) and their applications ⋮ Extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Extension of the operator of best polynomial approximation in \(L^p(\Omega )\) ⋮ Lebesgue's differentiation theorems in r.i. quasi-Banach spaces and Lorentz spaces \(\Gamma_{p,w}\) ⋮ Multivalued Extended BestΦ-Polynomial Approximation Operator ⋮ Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator ⋮ Inequalities for the extended best polynomial approximation operator in Orlicz spaces ⋮ Extension of the best approximation operator in Orlicz spaces ⋮ Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications

Cites Work

• Best local approximation in several variables
• Isotonic approximation in \(L_ s\).
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