Some approximation theorems in Fourier-Jacobi analysis and Boas type results for Nikol'skii spaces
DOI10.1007/S11868-024-00653-8MaRDI QIDQ6646280
Publication date: 29 November 2024
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
simultaneous approximationNikol'skii spacesFourier-Jacobi seriesHölder-Lipschitz spacesJacobi translationBoas equivalence theorem
Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric polynomials, inequalities, extremal problems (42A05)
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