On the best approximation of non-integer constants by polynomials with integer coefficients

DOI10.1007/s10958-023-06609-5arXiv1912.13342OpenAlexW4386051136MaRDI QIDQ6187851

Roald M. Trigub

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13342

zbMATH Keywords

best approximationChebyshev polynomialtransfinite diameterinteger algebraic numbersextreme properties of polynomials\(q\)-adic fractions

Mathematics Subject Classification ID

Multiplicative number theory (11Nxx) Approximations and expansions (41Axx) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11Kxx)

Cites Work

• Approximation of analytic functions by polynomials with integer coefficients
• Polynomial inequalities on sets with \(k_m\)-concave weighted measures
• Approximation of smooth functions and constants by polynomials with integer and natural coefficients
• Polynomials. Translated from the second Russian edition by Dimitry Leites.
• Sharp Remez inequality
• Chebyshev polynomials and integer coefficients
• Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients
• On approximation of constants by polynomials with integer coefficients
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