Abstract

For an extremal functional interpolation problem first considered by Yu.N. Subbotin, the explicit form of the extremal interpolation constants is calculated in terms of the Favard constants in the spaces L_p, \(p = 1,3{\text{/}}2,2\). Simple efficient recurrence formulas are obtained to calculate the Favard constants, and formulas for calculating these constants in terms of the Euler numbers are also given.

中文翻译：

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极值函数插值和Favard常数的一个问题

摘要

对于Yu.N.首先考虑的极值函数插值问题。subbotin是根据空间L _p的Favard常数计算出极值插值常数的显式形式，\（p = 1,3 {\ text {/}} 2,2 \）。获得了简单有效的递推公式来计算Favard常数，并且还给出了根据欧拉数来计算这些常数的公式。