The uniqueness of the best $L_1$-approximant of continuous Banach-valued functions under interpolatory constraints
We consider the best $L_1$-approximation with interpolatory constraints for continuous mapping of a metric compact set $Q$ into a Banach space $X$. The unicity set’s criterion is obtained. This result generalizes the result for real functions that was proved by A. Pinkus and H. Strauss.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2024-12-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/440/440 |
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