Sharp approximation theorems and Fourier inequalities in the Dunkl setting
DOI10.1016/j.jat.2020.105462zbMath1452.42006arXiv1912.03743OpenAlexW3045281829MaRDI QIDQ2202793
Sergey Yu. Tikhonov, Dmitry Gorbachev, Valeriĭ I. Ivanov
Publication date: 30 September 2020
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.03743
Littlewood-Paley theorymodulus of smoothnessbest approximationK-functionalDunkl LaplacianDunkl weightPitt's and Kellogg's inequalityreverse Marchaud inequalitiessharp Jackson
Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Orthogonal polynomials and functions associated with root systems (33C52)
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Cites Work
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