On the logarithmic means of the successively derived conjugate series of a Fourier series
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- by Sulaxana Kumari PDF
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References
- Sulaxana Kumari, On the logarithmic summability of the successively derived series of a Fourier series and of its conjugate series, Indian J. Math. 1 (1959), 87–101 (1959). MR 113090 F. Lukàcs, Über die Bestimmung des Sprunges einer Funktion aus ihrer Fourierreihe, J. Reine Angew. Math. 150 (1920), 107-112.
- M. L. Misra, On the determination of the jump of a function by its Fourier coefficients, Quart. J. Math. Oxford Ser. 18 (1947), 147–156. MR 21614, DOI 10.1093/qmath/os-18.1.147
- R. Mohanty and M. Nanda, On the logarithmic mean of the derived conjugate series of a Fourier series, Proc. Amer. Math. Soc. 7 (1956), 397–400. MR 79135, DOI 10.1090/S0002-9939-1956-0079135-5
- Nikola Obrechkoff, Sur la sommation des séries trigonométriques de Fourier par les moyennes arithmétiques, Bull. Soc. Math. France 62 (1934), 84–109 (French). MR 1505017 M. Riesz, Sur les séries de Dirichlet et les séries entières, C. R. Acad. Sci. Paris 149 (1908), 309-312. —, Sur un théorème de la moyenne et ses applications, Acta Sci. Math. Szeged) 1 (1923), 114-126. F. T. Wang, On the summability of conjugate Fourier series by Riesz’s logarithmic means, Tôhoku Math. J. 40 (1935), 393-397.
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 256-262
- MSC: Primary 42.20
- DOI: https://doi.org/10.1090/S0002-9939-1963-0145273-5
- MathSciNet review: 0145273