Asymptotic Behavior of Trigonometric Series with O-Regularly Varying Quasimonotone Coefficients, II1

In this paper, the asymptotic behavior of a trigonometric series with O-regularly varying quasimonotone coefficients is investigated. Our result generalizes the corresponding ones given in Boas’s book 1967, ‘‘Integrability Theorems for Trigonometric Transforms,’’ Springer-Verlag, BerlinrNew York. and Nurcombe’s paper 1993, J. Math. Anal. Appl. 178, 63]69..