Published online by Cambridge University Press: 24 October 2008
1. In a former paper we solved the following problem (Problem I). Given k + 1 real numbers co, …, ck, to find necessary and sufficient conditions that there shall exist a function f(x) in (0, 1) which satisfies the conditions
* “Solution of a moment problem for bounded functions”, Proc. Camb. Phil. Soc. 32 (1936), 30–39.CrossRefGoogle Scholar This paper will be referred to as I.
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* This means “necessary and sufficient in order that (40) shall hold for all polynomials of degree not greater than k”. Similar interpretations are to be given at every subsequent mention of (40).
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