Abstract. The extremal problem $$\min_{-1\le x_1<\cdots< x_n\le1}\max_{1\le i\le n-1} \Sigma_{k=1}^i(x_{i+1}-x_k)^{-p}$$ is investigated. Its exact lower bounds are provided and the equioscillation characterizations of Bernstein and Erdős of its solution are given.
AMS Subject Classification
(1991): 41A05
Received August 30, 1996. (Registered under 6105/2009.)
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