On the best approximation of constants by polynomials with integer coefficients

2019/12/27 by Trigub, R. M.
#41A17 #41A25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 41A10 #Secondary 30E10

paper · doi:10.48550/arxiv.1912.13342

Abstract

In this paper, exact rate of decrease of best approximations of non-integer numbers by polynomials with integer coefficients of the growing exponentials is found on a disk in complex plane, on a cube in ℝ^d, and on a ball in ℝ^d. While in the first two cases the sup-norm is used, the third one is fulfilled in L_p, 1≤ p

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