Geodesic
On uniform Lebesgue constants of third-order local trigonometric splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 245-254 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the linear differential third-order operator $\mathcal {L}_3(D)=D(D^2+\alpha^2)$ ($\alpha>0$), Lebesgue constants (the norms of linear operators from $C$ to $C$) are calculated exactly for two types of local (noninterpolational) trigonometric splines with uniform knots.
Mots-clés : Lebesgue constants
Keywords: trigonometric splines, differential operators of the third order. 
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E. V. Strelkova; V. T. Shevaldin. On uniform Lebesgue constants of third-order local trigonometric splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 245-254. http://geodesic.mathdoc.fr/item/TIMM_2016_22_2_a26/

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