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19942026
most citedBrownian distance covariance

857 citations

Showing 2005 · math.CAShow all

6 papers · 2 filters

math.CA2005

A Weierstrass-type theorem for homogeneous polynomials

David Benko, Andras Kroo

By the celebrated Weierstrass Theorem the set of algebraic polynomials is dense in the space of continuous functions on a compact set in R^d. In this paper we study the following q…

math.CA2005

A comparative analysis of Bernstein type estimates for the derivative of multivariate polynomials

Szilard Gy. Revesz

We compare the yields of two methods to obtain Bernstein type pointwise estimates for the derivative of a multivariate polynomial in points of some domain, where the polynomial is…

math.CA2005

Decomposition as the sum of invariant functions with respect to commuting transformations

Balint Farkas, Szilard Revesz

Let A be an arbitrary set. For any transformation T (self-map of A) let T(f)(x):=f(T(x)) (for all x in A) be the usual shift operator. A function g is called periodic, i.e., invari…

math.CA2005

Rendezvous numbers in normed spaces

Balint Farkas, Szilard Gy. Revesz

In previous papers, we used abstract potential theory, as developed by Fuglede and Ohtsuka, to a systematic treatment of rendezvous numbers. We introduced energies, Chebyshev const…

math.CA2005

Rendezvous numbers of metric spaces - a potential theoretic approach

Balint Farkas, Szilard Gy. Revesz

The present work draws on the understanding how notions of general potential theory - as set up, e.g., by Fuglede - explain existence and some basic results on the "magical" rendez…

math.CA2005

Potential theoretic approach to rendezvous numbers

Balint Farkas, Szilard Gy. Revesz

We analyze relations between various forms of energies (reciprocal capacities), the transfinite diameter, various Chebyshev constants and the so-called rendezvous or average number…