منابع مشابه
On a Problem of G . G . Lorentz
Let C(B) denote the space of real-valued continuous functions on B. At the conference Harmonic Analysis and Approximations held at Nor Amberd in Armenia in September, 1998, the following general problem was posed by Professor George G. Lorentz. Find conditions on finite dimensional subspaces U and V so that U/V is a unicity set in the problem of best uniform approximation to elements of C(B). I...
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To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...
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I started my research in approximation theory in a time when George Lorentz was one of the central figures, an undisputed world expert, of the subject. It meant a lot to me that he paid a special attention to my work on polynomial inequalities, Markov and Bernstein type inequalities in particular. A few years later I had a feeling he viewed me as one of the leading experts of Müntz polynomials ...
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In this note, we consider the concentration function problem for a continuous action of a locally compact group $G$ on a locally compact Hausdorff space $X$. We prove a necessary and sufficient condition for the concentration functions of a spread-out irreducible probability measure $mu$ on $G$ to converge to zero.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2000
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3414