A problem suggested by R.~Boas
Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 437-440.

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A result is proved concerning the convergence of the improper integral of a function $g(x)$, where $xg(x)\in L(0,\pi)$ and the generalized sine coefficients of g are nonnegative.
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     author = {S. A. Telyakovskii},
     title = {A problem suggested by {R.~Boas}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {437--440},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1969},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a5/}
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S. A. Telyakovskii. A problem suggested by R.~Boas. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 437-440. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a5/