Chebyshev optimal starting approximation by families with the weak betweenness property
نویسندگان
چکیده
منابع مشابه
The Strong Approximation Property and the Weak Bounded Approximation Property
We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja’s conjecture. As a consequence, we show that each of the spaces c0 and `1 has a subspace which has the AP but fails to have the strong AP.
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A sufficient condition that the product of two compact spaces has the property of weak approximation by points (briefly WAP) is given. It follows that the product of the unit interval with a compact WAP space is also a WAP space.
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Best Chebyshev approximation of real-valued data is treated by approximations obtained from solutions of parameter dependent initial value problems in ordinary diierential equations, in which the initial conditions are speciied. The problem is a modiied form of the problem treated by the authors in 9], 10], and 11]. The xing of the initial condition at t = a requires that approximation be carri...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 1979
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am-16-3-485-495