Geodesic
The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm--Liouville problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 74-85

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In this paper we construct the example of a continuous function, for which the Lagrange–Sturm–Liouville process diverges almost everywhere.
Keywords: sampling theorem, sinc approximation.
Mots-clés : interpolation, uniform convergence 
@article{IVM_2010_11_a6,
     author = {A. Yu. Trynin},
     title = {The divergence of {Lagrange} interpolation processes in eigenfunctions of the {Sturm--Liouville} problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {74--85},
     publisher = {mathdoc},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_11_a6/}
}
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A. Yu. Trynin. The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm--Liouville problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 74-85. http://geodesic.mathdoc.fr/item/IVM_2010_11_a6/