Abstract
A result is proved concerning the convergence of the improper integral of a function g(x), where xg(x) ∈ L (O, π) and the generalized sine coefficients of g are nonnegative.
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Translated from Matematicheskie Zametki, Vol. 5, No. 4, pp. 437–440, April, 1969.
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Telyakovskii, S.A. A problem suggested by R. Boas. Mathematical Notes of the Academy of Sciences of the USSR 5, 263–264 (1969). https://doi.org/10.1007/BF01410794
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DOI: https://doi.org/10.1007/BF01410794