An Extension of Fejér’s Condition for Hermite Interpolation
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- Berriochoa, E., Cachafeiro, A. & García-Amor, J.M. Complex Anal. Oper. Theory (2012) 6: 651. doi:10.1007/s11785-011-0161-2
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We study the Hermite interpolation problem with equally spaced nodes on the unit circle. We obtain new conditions for the derivatives in order that the Hermite interpolants uniformly converge to continuous functions. As a consequence we obtain some improvements in the case of the bounded interval.