Best local approximation in several variables

DOI10.1016/0021-9045(84)90008-XzbMath0548.41016MaRDI QIDQ799884

Louise A. Raphael, Harvey Diamond, Charles K. Chui

Publication date: 1984

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

zbMATH Keywords

best local approximationquasi-rational approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63)

Related Items (10)

RATIONAL APPROXIMATION INL_φSPACES ON A FINITE UNION OF DISJOINT INTERVALS ⋮ Taylor's inequalities in Orlicz–Sobolev type spaces ⋮ A unified approach to certain problems of best local approximation ⋮ A New Approach to Derivatives in L²-spaces ⋮ On convergence of subspaces generated by dilations of polynomials. An application to best local approximation ⋮ Weighted inequalities and applications to best local approximation in Luxemburg norm ⋮ Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls ⋮ Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications ⋮ Best Simultaneous Approximation on Small Regions ⋮ Best multipoint local \(L_ p\) approximation

Cites Work

• On convergence of (\(\mu\) ,\(\nu\) )-sequences of unisolvent rational approximants to meromorphic functions in \({\mathbb{C}}^ n\)
• Padé approximate as limits of rational functions of best approximation, real domain
• Best local approximation
• Padé approximants as limits of best rational approximants
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