Some Issues of the Theory of Approximations by Entire Functions of Exponential Type and Generalized Moduli of Smoothness
- Authors: Artamonov S.Y.1
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Affiliations:
- Department of Programming, Sevastopol Branch of Moscow State University
- Issue: Vol 28, No 1 (2017)
- Pages: 86-88
- Section: Article
- URL: https://journal-vniispk.ru/1046-283X/article/view/247569
- DOI: https://doi.org/10.1007/s10598-016-9348-8
- ID: 247569
Cite item
Abstract
The study establishes equivalence of generalized moduli of smoothness of K-functionals and errors of approximation by convolution integrals in cases when their generators are equivalent.
About the authors
S. Yu. Artamonov
Department of Programming, Sevastopol Branch of Moscow State University
Author for correspondence.
Email: sergei.artamonov@gmail.com
Russian Federation, Sevastopol
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