Some remarks on H-sets in linear approximation theory
نویسندگان
چکیده
منابع مشابه
Some Remarks on Connected Sets
This note will consist of a few disconnected remarks on connected sets . i. Swingle2 raised the question whether the plane is the sum of c disjoint biconnected sets . The answer as we shall show is affirmative . First we construct a biconnected set A with a dispersion point x such that any two points of A -x can be separated . (The first such set was constructed by Wilder.-' Our construction wi...
متن کاملSome remarks on good sets
It is shown that (1) if a good set has finitely many related components, then they are full, (2) loops correspond one-to-one to extreme points of a convex set. Some other properties of good sets are discussed.
متن کاملSome Remarks on Number Theory
This note contains some disconnected minor remarks on number theory . 1 . Let (1) Iz j I=1, 1<j<co be an infinite sequence of numbers on the unit circle . Put n s(k, n) _ z~, Ak = Jim sup I s(k, n) j=1 k=oo and denote by B k the upper bound of the numbers I s(k,n)j . If z j = e 2nij' a =A 0 then all the Ak 's are finite and if the continued fraction development of a has bounded denominators the...
متن کاملSome Remarks on Set Theory
Let there be given n ordinals cti, alt • • • , an. It is well known that every ordinal can be written uniquely as the sum of indecomposable ordinals. (An ordinal is said to be indecomposable if it is not the sum of two smaller ordinals.) Denote by (ct...
متن کاملSome Remarks on Set Theory
Let there be given n ordinals al, a2, • • • , an . It is well known that every ordinal can be written uniquely as the sum of indecomposable ordinals. (An ordinal is said to be indecomposable if it is not the sum of two smaller ordinals .) Denote by ¢(a) the largest of these indecomposable ordinals belonging to a . (4(a) may have a coefficient c in the decomposition of a.) Put y=minis . 0(ai), a...
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)90113-7