An asymptotically sharp form of Ball’s integral inequality

DOI10.1090/proc/12505zbMath1408.33003arXiv1708.08099OpenAlexW1916219385MaRDI QIDQ5264166

Ron Kerman, Susanna Spektor, Rastislav Ol'hava

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08099

zbMATH Keywords

asymptotic expansionBessel functionsinc functionBall's integral inequality

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05) Harmonic analysis in one variable (42A99)

Related Items (8)

On certain integral operators associated with Hermite and Laguerre polynomials ⋮ Behaviour of $L_{q}$ norms of the $\operatorname {sinc}_{p}$ function ⋮ Remarkable properties of the \(\operatorname{sinc}_{p,q}\) functions and related integrals ⋮ Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality ⋮ Non-diagonal critical central sections of the cube ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ On the maximal perimeter of sections of the cube ⋮ From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments

Cites Work

• Unnamed Item
• Polydisc slicing in $ℂ^n$
• L_<em>p</em> Norms and the Sinc Function
• Cube Slicing in R n
• Bessel Functions: Monotonicity and Bounds
• On the maximal measure of sections of the 𝑛-cube

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