Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform
From MaRDI portal
Publication:1759354
DOI10.1016/J.JAT.2012.05.004zbMath1257.42015OpenAlexW2072840624MaRDI QIDQ1759354
Publication date: 20 November 2012
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2012.05.004
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Rate of convergence, degree of approximation (41A25)
Related Items (9)
Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere ⋮ New moduli of smoothness on the unit ball, applications and computability ⋮ Hardy-Littlewood inequality for \(H_p(S^{d-1})\) ⋮ Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ Approximation tools and decay rates for eigenvalues of integral operators on a general setting ⋮ On Lebesgue integrability of Fourier transforms in amalgam spaces ⋮ Growth and integrability of Fourier transforms on Euclidean space ⋮ General types of spherical mean operators and \(K\)-functionals of fractional orders ⋮ Norm and smoothness of a function related to the coefficients of its expansion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Combinations of multivariate averages
- Estimates of the coefficients of the Jacobi expansion by measures of smoothness
- Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients
- Fractional derivatives and best approximations
- Convexity, moduli of smoothness and a Jackson-type inequality
- Interpolation of Linear Operators
- Interpolation of Operators with Change of Measures
- Classical Fourier Analysis
- Equivalence of measures of smoothness in Lp(Sd-1), 1<p<∞
- A modulus of smoothness on the unit sphere
This page was built for publication: Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform
