Nonlinear weighted best simultaneous approximation in Banach spaces
نویسندگان
چکیده
منابع مشابه
Nonlinear weighted best simultaneous approximation in Banach spaces ✩
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 ...
متن کاملBEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED SPACES
The main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. We develop the theory of t-bestsimultaneous approximation in quotient spaces. Then, we discuss the relationshipin t-proximinality and t-Chebyshevity of a given space and its quotientspace.
متن کاملBest Simultaneous Approximation to Totally Bounded Sequences in Banach Spaces
This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the assumption that the Banach space is uniformly smooth.
متن کاملbest simultaneous approximation in fuzzy normed spaces
the main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. we develop the theory of t-bestsimultaneous approximation in quotient spaces. then, we discuss the relationshipin t-proximinality and t-chebyshevity of a given space and its quotientspace.
متن کاملNew 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.04.060