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Nonlinear weighted best simultaneous approximation in Banach spaces |
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| Authors: | Xianfa Luo Genaro Lopez |
| Institution: | a School of Mathematics and Computer Science, Jishou University, Jishou 416000, PR China b Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China c Department of Mathematic Analysis, University of Sevilla, Seville, Spain |
| 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. |
| Keywords: | Simultaneous approximation S-sun RS-set Characterization Uniqueness |
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