On the asymptotic structure of the polynomials on minimal diophantic deviation from zero

DOI10.1016/0021-9045(88)90093-7zbMath0663.41008OpenAlexW2062473449MaRDI QIDQ1114095

Emiliano Aparicio Bernardo

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90093-7

zbMATH Keywords

approximation by integral polynomialsdiophantic deviation

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Approximation by polynomials (41A10) Diophantine approximation, transcendental number theory (11J99)

Related Items (8)

A factor of integer polynomials with minimal integrals ⋮ A note on integer polynomials with small integrals. II ⋮ The integer transfinite diameter of intervals and totally real algebraic integers ⋮ The trace of totally positive algebraic integers ⋮ A note on integer polynomials with small integrals ⋮ A new exceptional polynomial for the integer transfinite diameter of \([0,1\)] ⋮ On integer Chebyshev polynomials ⋮ Small polynomials with integer coefficients

Cites Work

• Approximation by polynomials with integral coefficients, a reformulation of the Stone-Weierstrass theorem
• On some results in the problem of diophantine approximation of functions by polynomials
• Approximation of continuous functions by polynomials with integral coefficients
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