New Characterization for Nonlinear Weighted Best Simultaneous Approximation
نویسندگان
چکیده
منابع مشابه
New Characterization for Nonlinear Weighted Best Simultaneous Approximation
The problem of best simultaneous approximation has a long history and continues to generate much interest. The problem of approximating simultaneously two continuous functions on a finite closed interval was first studied by Dunham 1 . Since then, such problems have been extended extensively, see, for example, 1–7 and references therein. In particular, characterization and uniqueness results we...
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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 ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2009
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2009/194876