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
Cite item
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.
Keywords
About the authors
O. L. Vinogradov
St. Petersburg State University
Author for correspondence.
Email: olvin@math.spbu.ru
Russian Federation, St. Petersburg