Nonlinear weighted best simultaneous approximation in Banach spaces ✩
نویسندگان
چکیده
The present paper is concerned with the problem of weighted best simultaneous approximations in Banach spaces. The weighted best simultaneous approximations to sequences from Sand 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. © 2007 Elsevier Inc. All rights reserved.
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