Geodesic
A criterion of convergence of Lagrange--Sturm--Liouville processes in terms of one-sided modulus of variation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2018), pp. 61-74

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We obtain a criterion of uniform convergence inside the interval $(0, \pi)$ of interpolation processes constructed from eigenfunctions of the regular Sturm–Liouville problem with a continuous potential of bounded variation. The condition of the characteristic is formulated in terms of a one-sided modulus of variations of the function.
Keywords: sinc approximation, interpolation functions, uniform approximation
Mots-clés : Lagrange–Sturm–Liouville processes. 
@article{IVM_2018_8_a7,
     author = {A. Yu. Trynin},
     title = {A criterion of convergence of {Lagrange--Sturm--Liouville} processes in terms of one-sided modulus of variation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {61--74},
     publisher = {mathdoc},
     number = {8},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_8_a7/}
}
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A. Yu. Trynin. A criterion of convergence of Lagrange--Sturm--Liouville processes in terms of one-sided modulus of variation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2018), pp. 61-74. http://geodesic.mathdoc.fr/item/IVM_2018_8_a7/