A non-Chebyshev finite-dimensional subspace in
S. B. Stechkin (1989)
Banach Center Publications
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S. B. Stechkin (1989)
Banach Center Publications
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Vyacheslav Zakharyuta (2012)
Annales Polonici Mathematici
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The famous result of geometric complex analysis, due to Fekete and Szegö, states that the transfinite diameter d(K), characterizing the asymptotic size of K, the Chebyshev constant τ(K), characterizing the minimal uniform deviation of a monic polynomial on K, and the capacity c(K), describing the asymptotic behavior of the Green function at infinity, coincide. In this paper we give a survey of results on multidimensional notions of transfinite diameter, Chebyshev constants and capacities,...
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 is estimated. Markov’s constants of the corresponding set are evaluated.
Harold G. Diamond, Wen-Bin Zhang (2013)
Acta Arithmetica
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If the counting function N(x) of integers of a Beurling generalized number system satisfies both and , then the counting function π(x) of the primes of this system is known to satisfy the Chebyshev bound π(x) ≪ x/logx. Let f(x) increase to infinity arbitrarily slowly. We give a construction showing that and do not imply the Chebyshev bound.
T. D. Narang (1986)
Matematički Vesnik
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Burago, Yu.D., Ivanov, S.V., Malev, S.G. (2005)
Journal of Mathematical Sciences (New York)
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K. Sarkadi (1969)
Applicationes Mathematicae
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Mazaheri, H., Nezhad, A.Dehghan (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Łukasz Jan Wojakowski (2006)
Banach Center Publications
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We calculate the moments of the measure orthogonalizing the 2-dimensional Chebyshev polynomials introduced by Koornwinder.
T. D. Narang (1982)
Matematički Vesnik
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Kevin Ford, Richard H. Hudson (2001)
Acta Arithmetica
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Jia-ping Wang, Xin-tai Yu (1989)
Manuscripta mathematica
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Lazar Pevac (1989)
Publications de l'Institut Mathématique
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Boaz Cohen (2021)
Czechoslovak Mathematical Journal
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We shall describe how to construct a fundamental solution for the Pell equation over finite fields of characteristic . 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 .
R. Smarzewski (1979)
Applicationes Mathematicae
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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 and in [20] he has formalized that [...] ℰTn is second-countable, we build (in the topological sense defined in [23]) a denumerable base of [...] ℰTn . 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]. ...