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- W4301744511 abstract "For $alpha>beta-1>0$, we obtain two sided inequalities for the moment integral $I(alpha,beta)= int_{mathbb{R}} |x|^{-beta}|sin x|^{alpha}dx$. These are then used to give the exact asymptotic behavior of the integral as $alpha to infty$. The case $I(alpha,alpha)$ corresponds to the asymptotics of Ball's inequality, and $I(alpha,[alpha]-1)$ corresponds to a kind of novel oscillatory behavior." @default.
- W4301744511 created "2022-10-05" @default.
- W4301744511 creator A5061851227 @default.
- W4301744511 date "2017-04-26" @default.
- W4301744511 modified "2023-09-25" @default.
- W4301744511 title "Inequalities and Asymptotics for some Moment Integrals" @default.
- W4301744511 doi "https://doi.org/10.48550/arxiv.1704.08144" @default.
- W4301744511 hasPublicationYear "2017" @default.
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