On geometric and best approximation properties of \(k\)-UR and its generalizations

DOI10.1007/s43037-023-00254-5OpenAlexW4321501770MaRDI QIDQ2689317

V. Thota, P. Gayathri

Publication date: 10 March 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-023-00254-5

zbMATH Keywords

\(k\)-uniformly rotund\(k\)-locally uniformly rotund\(k\)-strongly Chebyshev\(k\)-uniformly strongly Chebyshevproperty \(k\)-UC

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• On ∆-uniform convexity and drop property
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• A Generalization of Uniformly Rotund Banach Spaces
• ON SOME GENERALIZATION OF LOCAL UNIFORM SMOOTHNESS AND DUAL CONCEPTS
• Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
• Some questions about rotundity and renormings in Banach spaces
• A remark on the stability of approximative compactness

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