Fourier Coefficients and Generalized Lipschitz Classes
S. S. Volosivets
Source: Real Anal. Exchange Volume 34, Number 1 (2008), 219-226.
Abstract
In this paper we give some equivalence relations between behavior of Fourier coefficients of a special kind and smoothness of functions. A necessary and sufficient condition for existence of Schwartz derivative is also obtained.
Primary Subjects: 42A10
Secondary Subjects: 41A25
Keywords: absolute convergence ; moduli of smoothness ; generalized Lipschitz classes
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