Absolutely convergent Fourier series and generalized Lipschitz classes of functions
Ferenc Móricz
Abstract
Open-access reader
Ferenc Móricz
Abstract
Open-access reader
We investigate the order of magnitude of the modulus of continuity of a function $f$ with absolutely convergent Fourier series. We give sufficient conditions in terms of the Fourier coefficients in order that $f$ belong to one of the generalized Lipschi
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We investigate the order of magnitude of the modulus of continuity of a function $f$ with absolutely convergent Fourier series. We give sufficient conditions in terms of the Fourier coefficients in order that $f$ belong to one of the generalized Lipschi
Key concepts: Mathematics, Fourier series, Modulus of continuity, Absolute convergence, Lipschitz continuity, Mathematical analysis, Fourier transform, Fourier inversion theorem