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math.CA2005★ 1 cited
Right order Turan-type converse Markov inequalities for convex domains on the plane
Szilard Gy. Revesz
For a convex domain in the complex plane, the well-known general Bernstein-Markov inequality holds asserting that a polynomial of degree must have $||p'|| < c(K) n^2 ||…
math.CA2003
Turán's extremal problem for positive definite functions on groups
Mihail N. Kolountzakis, Szilard Gy. Revesz
We study the following question: Given an open set , symmetric about 0, and a continuous, integrable, positive definite function , supported in and with , how lar…
math.CA2002
On a problem of Turan about positive definite functions
Mihail N. Kolountzakis, Szilard Gy. Revesz
We study the following question posed by Turan. Suppose K is a convex body in Euclidean space which is symmetric with respect to the origin. Of all positive definite functions supp…