Absolute summability of a series associated with a Fourier series
HTML articles powered by AMS MathViewer
- by H. P. Dikshit
- Proc. Amer. Math. Soc. 22 (1969), 316-318
- DOI: https://doi.org/10.1090/S0002-9939-1969-0244698-2
- PDF | Request permission
References
- H. P. Dikshit, Absolute summability of a Fourier series by Nörlund means, Math. Z. 102 (1967), 166–170. MR 218833, DOI 10.1007/BF01112083
- H. P. Dikshit, On the absolute Nörlund summability of a Fourier series and its conjugate series, K\B{o}dai Math. Sem. Rep. 20 (1968), 448–453. MR 236611 G. H. Hardy and J. E. Littlewood, The allied series of a Fourier series, Proc. London Math. Soc. 24 (1926), 211-246.
- R. Mohanty and S. Mohapatra, On the absolute convergence of a series associated with a Fourier series, Proc. Amer. Math. Soc. 7 (1956), 1049–1053. MR 84071, DOI 10.1090/S0002-9939-1956-0084071-4
- Wang Si-lei, On the absolute Nörlund summability of a Fourier series and its conjugate series, Chinese Math.—Acta 7 (1965), 281–295. MR 0208273 E. C. Titchmarsh, The theory of functions, Oxford University Press, New York, 1957. A. Zygmund, Trigonometric series, Monogr. Mat., Bd. 5, Warsaw, 1935.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 316-318
- MSC: Primary 42.20
- DOI: https://doi.org/10.1090/S0002-9939-1969-0244698-2
- MathSciNet review: 0244698