Geodesic
On A Problem of P. Turán on Lacunary Interpolation*
Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 531-557

Voir la notice de l'article provenant de la source Cambridge University Press

In 1955, Suranyi and P. Turán [8] considered the problem of existence anduniqueness of interpolatory polynomials of degree ≤ 2n-1 when their valuesand second derivatives are prescribed on n given nodes. Around this kind ofinterpolation - aptly termed (0, 2) interpolation - considerable literaturehas grown up since then. For more complete bibliography on this subject werefer to J. Balazs [3], Later we considered [10] the problem of modified (0,2) interpolation when 2 the abscissas are the zeros of (1-x2) Tn(x), where Tn(x) is the Tchebycheff polynomial ofthe first kind (Tn(x) = cos n θ, x = cos θ). 
Varma, A. K. On A Problem of P. Turán on Lacunary Interpolation*. Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 531-557. doi: 10.4153/CMB-1967-053-9
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