Lebesgue Constants and Approximation of Classes of Functions with Bounded Derivative by Polynomials

2004 ◽  
pp. 393-428
Author(s):  
Roald M. Trigub ◽  
Eduard S. Bellinsky
Keyword(s):  
Lebesgue Constants ◽  
Bounded Derivative

scholarly journals Moduli Space of Brody Curves, Energy and Mean Dimension

2008 ◽  
Vol 192 ◽  
pp. 27-58 ◽  
Author(s):  
Masaki Tsukamoto
Keyword(s):  
Complex Plane ◽  
Moduli Space ◽  
Hermitian Manifold ◽  
Value Distribution ◽  
Holomorphic Map ◽  
Infinite Dimensional ◽  
Mean Dimension ◽  
The Mean ◽  
Moduli Theory ◽  
Bounded Derivative

AbstractA Brody curve is a holomorphic map from the complex plane ℂ to a Hermitian manifold with bounded derivative. In this paper we study the value distribution of Brody curves from the viewpoint of moduli theory. The moduli space of Brody curves becomes infinite dimensional in general, and we study its “mean dimension”. We introduce the notion of “mean energy” and show that this can be used to estimate the mean dimension.

scholarly journals On the Lebesgue constants of Fourier-Laplace series by Riesz Means

2017 ◽  
Vol 819 ◽  
pp. 012018
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik A. Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Torla Bin Hj Hassan
Keyword(s):  
Lebesgue Constants ◽  
Riesz Means ◽  
Laplace Series

Behavior of Lebesgue constants

1975 ◽  
Vol 17 (3) ◽  
pp. 233-235 ◽  
Author(s):  
V. A. Yudin
Keyword(s):  
Lebesgue Constants

Asymptotic behavior of Lebesgue constants in trigonometric interpolation

1982 ◽  
Vol 33 (6) ◽  
pp. 553-559 ◽  
Author(s):  
V. K. Dzyadyk ◽  
S. Yu. Dzyadyk ◽  
A. S. Prypik
Keyword(s):  
Asymptotic Behavior ◽  
Trigonometric Interpolation ◽  
Lebesgue Constants

scholarly journals Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous–Chebyshev nodes

2017 ◽  
Vol 43 ◽  
pp. 1-27 ◽  
Author(s):  
Peter Dencker ◽  
Wolfgang Erb ◽  
Yurii Kolomoitsev ◽  
Tetiana Lomako
Keyword(s):  
Polynomial Interpolation ◽  
Lebesgue Constants ◽  
Polyhedral Sets ◽  
Chebyshev Nodes
Sign in / Sign up

Export Citation Format

Share Document