A criterion of convergence of Lagrange--Sturm--Liouville processes in terms of one-sided modulus of variation

A. Yu. Trynin

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2018), pp. 61-74.

Résumé

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.

Détail

Mots-clés : sinc approximation, interpolation functions, uniform approximation, Lagrange–Sturm–Liouville processes.

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