Geodesic
The Integrability of Riemann Summable Trigonometric Series
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 273-281

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It is shown that if a trigonometric series is (R, 3), respectively (R, 4), summable then its (R, 3) sum, respectively (R, 4) sum, is James P3—, respectively P4—, integrable and that such series are Fourier series with respect to these integrals.
DOI : 10.4153/CMB-1990-045-2
Mots-clés : 26A39, 42A99 
Bullen, P. S.; Mukhopadhyay, S. N. The Integrability of Riemann Summable Trigonometric Series. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 273-281. doi: 10.4153/CMB-1990-045-2
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     title = {The {Integrability} of {Riemann} {Summable} {Trigonometric} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {273--281},
     year = {1990},
     volume = {33},
     number = {3},
     doi = {10.4153/CMB-1990-045-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-045-2/}
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