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- W2145603645 abstract "Let The asymptotic behaviours of ƒ(x) and g (x), as x→+0, were first given by G. H. Hardy in ( 4 ), ( 5 ). In his papers {a n }; is a monotone decreasing sequence. Further results on the asymptotic behaviours of ƒ(x) and g (x), as x→+0, for monotone coefficients have been given in ( 9 ) and ( 1 ). Recently, the results have been generalized to quasi-monotone coefficients. This paper is concerned with asymptotic behaviours of ƒ(x) and g (x) for δ-quasi-monotone coefficients. In what follows, we shall denote by L(x) a slowly varying function in the sense of Karamata ( 6 ), i.e." @default.
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- W2145603645 date "1969-12-01" @default.
- W2145603645 modified "2023-10-05" @default.
- W2145603645 title "On asymptotic behaviours of trigonometric series with δ-Quasi-monotone coefficients" @default.
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- W2145603645 doi "https://doi.org/10.1017/s0013091500012979" @default.
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