Geodesic
One problem of extremal functional interpolation and the Favard constants
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 34-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $L_p$, $p=1,3/2,2$. 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.
Mots-clés : interpolation, Favard constants
Keywords: recurrence formulas, Euler numbers. 
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Yu. S. Volkov. One problem of extremal functional interpolation and the Favard constants. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 34-37. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a7/

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