12 citations · 15 across the 8 of their papers we have counts for
10 papers
The mean value property (corrected version)
Vilmos Totik
The paper deals with some elementary problems about various mean value properties and their connections to harmonic functions and random walks.
Weyl's uniform distribution under periodic perturbation
Vilmos Totik
We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) de…
Bernstein- and Markov-type inequalities
Sergei Kalmykov, Béla Nagy, Vilmos Totik
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.
Bernstein- and Markov-type inequalities for rational functions
Sergei Kalmykov, Béla Nagy, Vilmos Totik
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions on smooth Jordan curves and arcs. The results are formulated in terms of t…
Christoffel functions with power type weights
Tivadar Danka, Vilmos Totik
Precise asymptotics for Christoffel functions are established for power type weights on unions of Jordan curves and arcs. The asymptotics involve the equilibrium measure of the sup…
Modified logarithmic potential theory and applications
T. Bloom, N. Levenberg, V. Totik +1
We develop potential theory including a Bernstein-Walsh type estimate for functions of the form where are polynomials and is holomorphic. Such functions ari…
Orthogonal polynomials for area-type measures and image recovery
E. B. Saff, H. Stahl, N. Stylianopoulos +1
Let be a finite union of disjoint and bounded Jordan domains in the complex plane, let be a compact subset of and consider the set obtained from …
Asymptotically sharp Markov and Schur inequalities on general sets
Sergei Kalmykov, Bela Nagy, Vilmos Totik
Markov's inequality for algebraic polynomials on goes back to more than a century and it is widely used in approximation theory. Its asymptotically sharp form f…
On a conjecture of Widom
Vilmos Totik, Peter Yuditskii
In 1969 Harold Widom published his seminal paper, which gave a complete description of orthogonal and Chebyshev polynomials on a system of smooth Jordan curves. When there were Jor…
Limits of Zeros of Orthogonal Polynomials on the Circle
Barry Simon, Vilmos Totik
We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding…