Geodesic
Sharp Lebesgue constants for interpolatory $\mathcal L$-splines of a formally self-adjoint differential operator
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 169-177
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The Lebesgue function is constructed and sharp Lebesgue constants are found for both interpolatory periodic and interpolatory bounded $\mathcal L$-splines of a formally self-adjoint differential operator of arbitrary order such that at least one of the roots of its characteristic polynomial is zero.
Keywords: $\mathcal L$-spline, formally self-adjoint differential operator.
Mots-clés : sharp Lebesgue constants, Lebesgue function 
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V. A. Kim. Sharp Lebesgue constants for interpolatory $\mathcal L$-splines of a formally self-adjoint differential operator. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 169-177. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a16/

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