Email this article Sufficient Condition for Convergence of Lagrange–Sturm–Liouville Processes in Terms of One-Sided Modulus of Continuity
- Authors: Trynin A.Y.1
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Affiliations:
- Saratov State University
- Issue: Vol 58, No 11 (2018)
- Pages: 1716-1727
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179910
- DOI: https://doi.org/10.1134/S0965542518110143
- ID: 179910
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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.
About the authors
A. Yu. Trynin
Saratov State University
Author for correspondence.
Email: atrynin@gmail.com
Russian Federation, Saratov, 410012
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