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On the convergence of generalized Cesàro means of trigonometric Fourier series. II

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Abstract

The behavior of generalized Cesàro (C, α n )-means (α n ∈ (−1,0)) of trigonometric Fourier series of H ω classes in the space of continuous functions is studied. The sharpness of the results obtained is shown.

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References

  1. A. Zygmund, Sur la’sommabilité des séries de Fourier des functions vérifiant la condition de Lipschitz, Bull. de I’Acad., Polon. (1925), 1–9.

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  5. L. Zhizhiashvili, Conjugate Functions and Trigonometric Series, Tbilisi University Press (1969) (in Russian).

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Akhobadze, T. On the convergence of generalized Cesàro means of trigonometric Fourier series. II. Acta Math Hung 115, 79–100 (2007). https://doi.org/10.1007/s10474-007-5215-6

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  • DOI: https://doi.org/10.1007/s10474-007-5215-6

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