Transfinite diameter, Chebyshev constants, and capacities in ℂⁿ

Vyacheslav Zakharyuta

Displaying similar documents to “Transfinite diameter, Chebyshev constants, and capacities in ℂⁿ”

Chebyshev bounds for Beurling numbers

Harold G. Diamond, Wen-Bin Zhang (2013)

Acta Arithmetica

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The first author conjectured that Chebyshev-type prime bounds hold for Beurling generalized numbers provided that the counting function N(x) of the generalized integers satisfies the L¹ condition $\int_{1}^{\infty} | N (x) - A x | d x / x^{2} < \infty$ for some positive constant A. This conjecture was shown false by an example of Kahane. Here we establish the Chebyshev bounds using the L¹ hypothesis and a second integral condition.

A non-Chebyshev finite-dimensional subspace in $H_{1}$

S. B. Stechkin (1989)

Banach Center Publications

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Smoothness of the Green function for a special domain

Serkan Celik, Alexander Goncharov (2012)

Annales Polonici Mathematici

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We consider a compact set K ⊂ ℝ in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for K, the modulus of continuity of the Green functions $g_{ℂ ∖ K}$ is estimated. Markov’s constants of the corresponding set are evaluated.

A note on Chebyshev centres

T. D. Narang (1982)

Matematički Vesnik

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A result on Chebyshev centres

T. D. Narang (1986)

Matematički Vesnik

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Remarks on Chebyshev coordinates.

Burago, Yu.D., Ivanov, S.V., Malev, S.G. (2005)

Journal of Mathematical Sciences (New York)

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Green's function method approach to electron configuration of superlattices.

Vragović, I.D., Stojković, S.M., Šijačić, D., Šetrajčić, J.P. (2001)

Novi Sad Journal of Mathematics

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Moments of measure orthogonalizing the 2-dimensional Chebyshev polynomials

Łukasz Jan Wojakowski (2006)

Banach Center Publications

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We calculate the moments $m_{k, 0}$ of the measure orthogonalizing the 2-dimensional Chebyshev polynomials introduced by Koornwinder.

Chebyshev centers, E-Chebyshev centers and the Hausdorff metric.

Jia-ping Wang, Xin-tai Yu (1989)

Manuscripta mathematica

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An extension of Chebyshev's inequality

K. Sarkadi (1969)

Applicationes Mathematicae

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On $σ$ -Chebyshev subspaces of Banach spaces.

Mazaheri, H., Nezhad, A.Dehghan (2001)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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Evaluation of coefficients of a double Chebyshev series of the function g(p(x+y))

Krystyna Ziętak (1988)

Applicationes Mathematicae

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Chebyshev polynomials and Pell equations over finite fields

Boaz Cohen (2021)

Czechoslovak Mathematical Journal

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We shall describe how to construct a fundamental solution for the Pell equation $x^{2} - m y^{2} = 1$ over finite fields of characteristic $p \neq 2$ . Especially, a complete description of the structure of these fundamental solutions will be given using Chebyshev polynomials. Furthermore, we shall describe the structure of the solutions of the general Pell equation $x^{2} - m y^{2} = n$ .

Sign changes in $π_{q, a} (x) - π_{q, b} (x)$

Kevin Ford, Richard H. Hudson (2001)

Acta Arithmetica

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Chebyshev Centres in Normed Spaces

Lazar Pevac (1989)

Publications de l'Institut Mathématique

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On the characteristic equation of Chebyshev matrices.

Bucur, Amelia, Alvarez-Ballesteros, S., López-Bonilla, J.L. (2007)

General Mathematics

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Chebyshev Distance

Roland Coghetto (2016)

Formalized Mathematics

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In [21], Marco Riccardi formalized that ℝN-basis n is a basis (in the algebraic sense defined in [26]) of [...] ℰTn $ℰ_{T}^{n}$ and in [20] he has formalized that [...] ℰTn $ℰ_{T}^{n}$ is second-countable, we build (in the topological sense defined in [23]) a denumerable base of [...] ℰTn $ℰ_{T}^{n}$ . Then we introduce the n-dimensional intervals (interval in n-dimensional Euclidean space, pavé (borné) de ℝn [16], semi-intervalle (borné) de ℝn [22]). We conclude with the definition of Chebyshev distance [11]. ...