#### Vol. 15, No. 1, 1965

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Chebyshev approximation to zero

### James McLean Sloss

Vol. 15 (1965), No. 1, 305–313
##### Abstract

In this paper we shall be concerned with the questions of existence, uniqueness and constructability of those polynomials in $k+1$ variables $\left({x}_{1},{x}_{2},\cdots \phantom{\rule{0.3em}{0ex}},{x}_{k},y\right)$ of degree not greater than ${n}_{s}$ in ${x}_{s}$ and $m$ in $y$ which best approximate zero on ${I}_{1}×{I}_{2}×\cdots ×{I}_{k+1}$, ${I}_{s}=\left[-1,1\right]$, in the Chebyshev sense.

Primary: 41.40