منابع مشابه
Simultaneous Approximation of a Set of Bounded Real Functions
The problem of simultaneous Chebyshev approximation of a set F of uniformly bounded, real-valued functions on a compact interval / by a set P of continuous functions is equivalent to the problem of simultaneous approximation of two real-valued functions F+ (x), F~ (x), with F~ (x) ¿ F+ (x), for all x in I, where F~ is lower semicontinuous and F+ is upper semicontinuous. 1. Formulation of the Ap...
متن کاملFuzzy Best Simultaneous Approximation of a Finite Numbers of Functions
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.
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 کاملA note on approximation conditions, standard triangularizability and a power set topology
The main result of this article is that for collections of entry-wise non-negative matrices the property of possessing a standard triangularization is stable under approximation. The methodology introduced to prove this result allows us to offer quick proofs of the corresponding results of [B. R. Yahaghi, Near triangularizability implies triangularizability, Canad. Math. Bull. 47, (2004), no. 2...
متن کاملSimultaneous Approximation of Polynomials
Let Pd denote the family of all polynomials of degree at most d in one variable x, with real coefficients. A sequence of positive numbers x1 ≤ x2 ≤ . . . is called Pd-controlling if there exist y1, y2, . . . ∈ R such that for every polynomial p ∈ Pd there exists an index i with |p(xi)−yi| ≤ 1. We settle an problem of Makai and Pach (1983) by showing that x1 ≤ x2 ≤ . . . is Pd-controlling if and...
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 Approximation Theory
سال: 1977
ISSN: 0021-9045
DOI: 10.1016/0021-9045(77)90114-9