Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621757 | Journal of Mathematical Analysis and Applications | 2008 | 19 Pages |
Abstract
The present paper is concerned with the problem of weighted best simultaneous approximations in Banach spaces. The weighted best simultaneous approximations to sequences from S- and BS-suns in the Banach space are characterized in view of the Kolmogorov conditions. Applications are provided for weighted best simultaneous approximations from RS-sets and strict RS-sets. Our results obtained in the present paper extend and improve all earlier known results in this direction.
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