Email this article Kolmogorov inequalities for the norms of the Riesz derivatives of functions of many variables
- Authors: Parfinovych N.V.1
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Affiliations:
- Oles Honchar Dnipro National University
- Issue: Vol 229, No 1 (2018)
- Pages: 85-95
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240374
- DOI: https://doi.org/10.1007/s10958-018-3663-x
- ID: 240374
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Abstract
New sharp Kolmogorov-type inequalities for the norms of the Riesz derivatives ∥Dαf∥∞ of functions \( f\in {L}_{\infty, E}^{\nabla}\left({\mathrm{\mathbb{R}}}^m\right) \) are obtained. Some applications of obtained inequalities are investigated.
About the authors
Nataliia V. Parfinovych
Oles Honchar Dnipro National University
Author for correspondence.
Email: nat-vic-par@i.ua
Ukraine, Dnipro
