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Computational Mathematics and Mathematical Physics

, Volume 58, Issue 11, pp 1716–1727 | Cite as

Sufficient Condition for Convergence of Lagrange–Sturm–Liouville Processes in Terms of One-Sided Modulus of Continuity

  • A. Yu. Trynin
Article
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Abstract

A sufficient condition for the uniform convergence in the interval (0, π) of interpolation processes based on the eigenfunctions of a regular Sturm–Liouville problem with a continuous bounded variation potential is obtained. The condition is formulated in terms of a one-sided modulus of continuity of a function.

Keywords:

sinc approximation interpolation of functions uniform approximation Lagrange–Sturm–Liouville processes 

Notes

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Saratov State UniversitySaratovRussia

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