Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\)

DOI10.1134/S1061920822030013WikidataQ114075039 ScholiaQ114075039MaRDI QIDQ2674911

I. G. Tsar'kov, Alexey R. Alimov

Publication date: 14 September 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Approximations and expansions (41Axx) Maps and general types of topological spaces defined by maps (54Cxx)

Related Items (6)

Reflexivity for spaces with extended norm ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Kuhn-Tucker type theorems in cone and linear normed spaces ⋮ Chebyshev unions of planes, and their approximative and geometric properties ⋮ On local properties of spaces implying monotone path-connectedness of suns ⋮ Strict protosuns in asymmetric spaces of continuous functions

Cites Work

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• Compact and weakly compact Tchebycheff sets in normed linear spaces
• Existence of best approximations
• Properties of monotone connected sets
• Ball-complete sets and solar properties of sets in asymmetric spaces
• The zero set of a real analytic function
• Properties of suns in the spaces \(L^1\) and \(C(Q)\)
• Nicht-lineare Approximationen
• Continuous \(\epsilon\)-selection and monotone path-connected sets
• Existence of best rational Tchebycheff approximations
• Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\)
• Generalised rational approximation and its application to improve deep learning classifiers
• \(\mathring{B}\)-complete sets: approximative and structural properties
• Connectedness and solarity in problems of best and near-best approximation
• Continuous selections in asymmetric spaces
• Properties of monotone path-connected sets
• Monotone path-connectedness of Chebyshev sets in three-dimensional spaces
• Geometric Approximation Theory
• The Life, Work, and Legacy of P. L. Chebyshev
• Multivariate approximation by polynomial and generalized rational functions
• Approximative properties of sets and continuous selections
• Weakly monotone sets and continuous selection in asymmetric spaces

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