Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients

Author:

Ditzian Z.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference6 articles.

1. Growth properties of Fourier transforms via moduli of continuity;Bray;J. Funct. Analysis,2008

2. Combinations of multivariate averages;Dai;J. Approx. Theory,2004

3. Constructive Approximation;DeVore,1991

4. Fractional derivatives and best approximation;Ditzian;Acta Math. Hungar.,1998

5. Z. Ditzian, A. Prymak, Convexity, moduli of smoothness and a Jackson-type inequality (in press)

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1. Growth properties of Hartley transform via moduli of continuity;Journal of Pseudo-Differential Operators and Applications;2024-09-07

2. Pitt inequalities and restriction theorems for the Fourier transform;Revista Matemática Iberoamericana;2017

3. Norm and smoothness of a function related to the coefficients of its expansion;Journal of Approximation Theory;2015-08

4. General types of spherical mean operators and $K$-functionals of fractional orders;Communications on Pure and Applied Analysis;2015-03

5. Growth and Integrability of Fourier Transforms on Euclidean Space;Journal of Fourier Analysis and Applications;2014-08-19

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