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Existence of best simultaneous approximations in Lp(S,Σ,X)

Published:2011-09 Issue:9 Volume:163 Page:1300-1316
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Luo Xian-Fa,Li Chong,Xu Hong-Kun,Yao Jen-Chih

Funder

NNSF of China

National Natural Science Foundation of China

Zhejiang Provincial Natural Science Foundation of China

NSC

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference18 articles.

1. Measure, Integration, and Functional Analysis;Ash,1972

2. Banach spaces of vector-valued functions;Cembranos,1997

3. Vector Measures;Diestel,1977

4. Best approximation in Lp(I,X);Khalil;Math. Proc. Cambridge Philos. Soc.,1983

5. Best approximation in Lp(I,X), II;Khalil;J. Approx. Theory,1989

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1. Generalizations of non-linear best simultaneous approximation in Köthe function spaces;Filomat;2022

2. Best simultaneous approximation on metric spaces via monotonous norms;Filomat;2020

3. Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent;Numerical Functional Analysis and Optimization;2018-12-04

4. Simultaneous Proximinality in Spaces of Bochner Integrable Functions;Numerical Functional Analysis and Optimization;2018-08-18

5. Best N-Simultaneous Approximation in Lp(μ,X);Journal of Function Spaces;2017

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