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This article is cited in 3 scientific papers (total in 3 papers)
BRIEF MESSAGE
Nikolskii–Bernstein constants in $L^{p}$ on the sphere with Dunkl weight
D. V. Gorbachev, N. N. Dobrovol'skii Tula State University (Tula)
Abstract:
We study the sharp Nikol'skii–Bernstein constants for spherical polynomials in the space $L^{p}(\mathbb{S}^{d})$ with the Dunkl weight. An interrelationship with one-dimensional constants for algebraic polynomials in the space $L^{p}[-1,1]$ with the Gegenbauer weight is established.
Keywords:
Euclidean sphere, Dunkl weight, Gegenbauer weight, spherical polynomials, Nikolskii constant, Bernstein inequality.
Received: 12.08.2020 Accepted: 22.10.2020
Citation:
D. V. Gorbachev, N. N. Dobrovol'skii, “Nikolskii–Bernstein constants in $L^{p}$ on the sphere with Dunkl weight”, Chebyshevskii Sb., 21:4 (2020), 302–307
Linking options:
https://www.mathnet.ru/eng/cheb969 https://www.mathnet.ru/eng/cheb/v21/i4/p302
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