On the best approximations and rate of convergence of decompositions in the root vectors of an operator
We establish upper bounds of the best approximations of elements of a Banach space B by the root vectors of an operator $A$ that acts in B. The corresponding estimates of the best approximations are expressed in terms of a K-functional associated with the operator A. For the operator of differentiat...
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5060 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |