2008•Colloquium MathematicumOpen access

Absolutely convergent Fourier series and generalized Lipschitz classes of functions

Ferenc Móricz

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Abstract

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

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Available abstract

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

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