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

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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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     author = {E. V. Strelkova and V. T. Shevaldin},
     title = {On uniform {Lebesgue} constants of third-order local trigonometric splines},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {245--254},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_2_a26/}
}
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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/