Geodesic
Lebesgue constants for some interpolational ${\mathcal L}$-splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 215-224 Cet article a éte moissonné depuis la source Math-Net.Ru

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We find exact values for the uniform Lebesgue constants of interpolational ${\mathcal L}$-splines that are bounded on the real axis, have equidistant knots, and correspond to the linear third-order differential operator ${\mathcal L}_{3}(D)=D(D^{2}+\alpha^{2})$ with constant real coefficients, where $\alpha>0$. We compare the obtained result with the Lebesgue constants of other ${\mathcal L}$-splines.
Mots-clés : interpolation, Lebesgue constant.
Keywords: spline 
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S. I. Novikov. Lebesgue constants for some interpolational ${\mathcal L}$-splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 215-224. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a19/

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