Email this article An Exact Inequality of Jackson-Chernykh Type for Spline Approximations of Periodic Functions
- Authors: Vinogradov O.L.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 60, No 3 (2019)
- Pages: 412-428
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172398
- DOI: https://doi.org/10.1134/S0037446619030066
- ID: 172398
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Abstract
We establish the inequality with exact constant for spline approximations of periodic functions which is similar to the Jackson-Chernykh inequality for approximations by trigonometric polynomials. We study the question of the least step in the obtained inequality.
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About the authors
O. L. Vinogradov
St. Petersburg State University
Author for correspondence.
Email: olvin@math.spbu.ru
Russian Federation, St. Petersburg
