Email this article A Sharp Jackson Inequality in Lp(ℝd) with Dunkl Weight
- Authors: Gorbachev D.V.1, Ivanov V.I.1
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Affiliations:
- Tula State University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 657-673
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151726
- DOI: https://doi.org/10.1134/S0001434619050031
- ID: 151726
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Abstract
A sharp Jackson inequality in the space Lp(ℝd), 1 ≤ p < 2, with Dunkl weight is proved. The best approximation is realized by entire functions of exponential spherical type. The modulus of continuity is defined by means of a generalized shift operator bounded on Lp, which was constructed earlier by the authors. In the case of the unit weight, this operator coincides with the mean-value operator on the sphere.
About the authors
D. V. Gorbachev
Tula State University
Author for correspondence.
Email: dvgmail@mail.ru
Russian Federation, Tula, 300012
V. I. Ivanov
Tula State University
Author for correspondence.
Email: ivaleryi@mail.ru
Russian Federation, Tula, 300600
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