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- Chinese Academy of SciencesCN18 papers
- Far Eastern Federal UniversityRU18 papers
- Academy of Mathematics and Systems ScienceCN11 papers
- Far Eastern Branch of the Russian Academy of SciencesRU9 papers
- Delft University of TechnologyNL7 papers
- Institute of Chemistry, Far Eastern Branch of the Russian Academy of SciencesRU5 papers
- Russian Academy of SciencesRU5 papers
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- Ministry of Internal Affairs of the Russian FederationRU4 papers
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8 papers · 1 filter
Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles
Sergei Kalmykov, Alexey Lukashov
We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have accumulatio…
Self-intersections of Laurent polynomials and the density of Jordan curves
Sergei Kalmykov, Leonid V. Kovalev
We extend Quine's bound on the number of self-intersection of curves with polynomial parameterization to the case of Laurent polynomials. As an application, we show that circle emb…
Polynomial and rational inequalities on Jordan arcs and domains
Sergei Kalmykov, Béla Nagy
In this paper we prove an asymptotically sharp Bernstein-type inequality for polynomials on analytic Jordan arcs. Also a general statement on mapping of a domain bounded by finitel…
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…
An extremal decomposition problem for harmonic measure
V. N. Dubinin, M. Vuorinen
Let be a continuum in the closed unit disk of the complex -plane which divides the open disk into pairwise non-intersecting simply connected do…
Robin functions and distortion theorems for regular mappings
Vladimir N. Dubinin, Matti Vuorinen
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robi…