Abstract
Let c‘(I) denote the space of continuous. real~valued functions on the inter\,al I ICI. 6) endowed with the uniform norm /I 11. Let U,, denote the set of all algebraic polynomials of degree II or less. and let II denote the set of all algebraic polynomials. For a given SF C(I). with best uniform approximation r,,(.f) from n,,. Newman and Shapiro 1 IO] showed that there is a constant ;’ > 0 such that
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